Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Question
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Chapter 8.6, Problem 20PPS
To determine

To solve : the equation

Expert Solution & Answer
Check Mark

Answer to Problem 20PPS

The solution of the equation is x=5±7

Explanation of Solution

Given information :

The equation is

  x2x1+3x+4=212x2+7x4

Formula used : Sridhar Acharya b±b24ac2a

Calculation :

The LCD for the term is (2x1)(x+4) .

  x2x1+3x+4=212x2+7x4(2x1)(x+4)(x2x1)+(2x1)(x+4)(3x+4)=(2x1)(x+4)(212x2+7x4)x(x+4)+3(2x1)=(2x2+8xx4)(212x2+7x4)x(x+4)+3(2x1)=(2x2+7x4)(212x2+7x4)x2+4x+6x3=21x2+10x3+21=0x2+10x+81=0x=b±b24ac2ax=10±(10)2411821x=10±100722x=10±282x=10±272x=5±7

Check x2x1+3x+4=212x2+7x4

Take positive sing

  5+72(5+7)1+3(5+7)+4=212(5+7)2+7(5+7)45+710+271+31+7=212{(5)2+2(5)(7)+(7)2}35+7745+711+27+31+7=212(25107+7)39+77(5+7)(1+7)+3(11+27)(11+27)(1+7)=212(32107)39+775757+733+671127117+27(7)=216420739+776721+6711137+14=21251372125137=2125137

Take negative sing.

  572(57)1+3(57)+4=212(57)2+7(57)45+710271+317=212{(5)22(5)(7)+(7)2}35774571127+317=212(25+107+7)3977(57)(17)+3(1127)(1127)(17)=212(32+107)39775+57+7+(77)336711+27+117+27(7)=2164+20739775+67+7336711+137+14=2125+1372125+137=2125+137

Hence, the solution of the equation is x=5±7 .

Chapter 8 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 8.1 - Prob. 5BGPCh. 8.1 - Prob. 6AGPCh. 8.1 - Prob. 6BGPCh. 8.1 - Prob. 1CYUCh. 8.1 - Prob. 2CYUCh. 8.1 - Prob. 3CYUCh. 8.1 - Prob. 4CYUCh. 8.1 - Prob. 5CYUCh. 8.1 - Prob. 6CYUCh. 8.1 - Prob. 7CYUCh. 8.1 - Prob. 8CYUCh. 8.1 - Prob. 9CYUCh. 8.1 - Prob. 10CYUCh. 8.1 - Prob. 11CYUCh. 8.1 - Prob. 12CYUCh. 8.1 - Prob. 13PPSCh. 8.1 - Prob. 14PPSCh. 8.1 - Prob. 15PPSCh. 8.1 - Prob. 16PPSCh. 8.1 - Prob. 17PPSCh. 8.1 - Prob. 18PPSCh. 8.1 - Prob. 19PPSCh. 8.1 - Prob. 20PPSCh. 8.1 - Prob. 21PPSCh. 8.1 - Prob. 22PPSCh. 8.1 - Prob. 23PPSCh. 8.1 - Prob. 24PPSCh. 8.1 - Prob. 25PPSCh. 8.1 - Prob. 26PPSCh. 8.1 - Prob. 27PPSCh. 8.1 - Prob. 28PPSCh. 8.1 - Prob. 29PPSCh. 8.1 - Prob. 30PPSCh. 8.1 - Prob. 31PPSCh. 8.1 - Prob. 32PPSCh. 8.1 - Prob. 33PPSCh. 8.1 - Prob. 34PPSCh. 8.1 - Prob. 35PPSCh. 8.1 - Prob. 36PPSCh. 8.1 - Prob. 37PPSCh. 8.1 - Prob. 38PPSCh. 8.1 - Prob. 39PPSCh. 8.1 - Prob. 40PPSCh. 8.1 - Prob. 41PPSCh. 8.1 - Prob. 42PPSCh. 8.1 - Prob. 43PPSCh. 8.1 - Prob. 44PPSCh. 8.1 - Prob. 45PPSCh. 8.1 - Prob. 46PPSCh. 8.1 - Prob. 47PPSCh. 8.1 - Prob. 48PPSCh. 8.1 - Prob. 49PPSCh. 8.1 - Prob. 50PPSCh. 8.1 - Prob. 51PPSCh. 8.1 - Prob. 52PPSCh. 8.1 - Prob. 53PPSCh. 8.1 - Prob. 54PPSCh. 8.1 - Prob. 55PPSCh. 8.1 - Prob. 56PPSCh. 8.1 - Prob. 57PPSCh. 8.1 - Prob. 58PPSCh. 8.1 - Prob. 59HPCh. 8.1 - Prob. 60HPCh. 8.1 - Prob. 61HPCh. 8.1 - Prob. 62HPCh. 8.1 - Prob. 63HPCh. 8.1 - Prob. 64HPCh. 8.1 - Prob. 65HPCh. 8.1 - Prob. 66STPCh. 8.1 - Prob. 67STPCh. 8.1 - Prob. 68STPCh. 8.1 - Prob. 69STPCh. 8.1 - Prob. 70SRCh. 8.1 - Prob. 71SRCh. 8.1 - Prob. 72SRCh. 8.1 - Prob. 73SRCh. 8.1 - Prob. 74SRCh. 8.1 - Prob. 75SRCh. 8.1 - Prob. 76SRCh. 8.1 - Prob. 77SRCh. 8.1 - Prob. 78SRCh. 8.1 - Prob. 79SRCh. 8.1 - Prob. 80SRCh. 8.1 - Prob. 81SCh. 8.1 - Prob. 82SCh. 8.1 - Prob. 83SCh. 8.1 - Prob. 84SCh. 8.1 - Prob. 85SCh. 8.1 - Prob. 86SCh. 8.2 - Prob. 1AGPCh. 8.2 - Prob. 1BGPCh. 8.2 - Prob. 2AGPCh. 8.2 - Prob. 2BGPCh. 8.2 - Prob. 3AGPCh. 8.2 - Prob. 3BGPCh. 8.2 - Prob. 4AGPCh. 8.2 - Prob. 4BGPCh. 8.2 - Prob. 5AGPCh. 8.2 - Prob. 5BGPCh. 8.2 - Prob. 5CGPCh. 8.2 - Prob. 5DGPCh. 8.2 - Prob. 1CYUCh. 8.2 - Prob. 2CYUCh. 8.2 - Prob. 3CYUCh. 8.2 - Prob. 4CYUCh. 8.2 - Prob. 5CYUCh. 8.2 - Prob. 6CYUCh. 8.2 - Prob. 7CYUCh. 8.2 - Prob. 8CYUCh. 8.2 - Prob. 9CYUCh. 8.2 - Prob. 10CYUCh. 8.2 - Prob. 11CYUCh. 8.2 - Prob. 12CYUCh. 8.2 - Prob. 13CYUCh. 8.2 - Prob. 14CYUCh. 8.2 - Prob. 15CYUCh. 8.2 - Prob. 16CYUCh. 8.2 - Prob. 17CYUCh. 8.2 - Prob. 18PPSCh. 8.2 - Prob. 19PPSCh. 8.2 - Prob. 20PPSCh. 8.2 - Prob. 21PPSCh. 8.2 - Prob. 22PPSCh. 8.2 - Prob. 23PPSCh. 8.2 - Prob. 24PPSCh. 8.2 - Prob. 25PPSCh. 8.2 - Prob. 26PPSCh. 8.2 - Prob. 27PPSCh. 8.2 - Prob. 28PPSCh. 8.2 - Prob. 29PPSCh. 8.2 - Prob. 30PPSCh. 8.2 - Prob. 31PPSCh. 8.2 - Prob. 32PPSCh. 8.2 - Prob. 33PPSCh. 8.2 - Prob. 34PPSCh. 8.2 - Prob. 35PPSCh. 8.2 - Prob. 36PPSCh. 8.2 - Prob. 37PPSCh. 8.2 - Prob. 38PPSCh. 8.2 - Prob. 39PPSCh. 8.2 - Prob. 40PPSCh. 8.2 - Prob. 41PPSCh. 8.2 - Prob. 42PPSCh. 8.2 - Prob. 43PPSCh. 8.2 - Prob. 44PPSCh. 8.2 - Prob. 45PPSCh. 8.2 - Prob. 46PPSCh. 8.2 - Prob. 47PPSCh. 8.2 - Prob. 48PPSCh. 8.2 - Prob. 49PPSCh. 8.2 - Prob. 50PPSCh. 8.2 - Prob. 51PPSCh. 8.2 - Prob. 52PPSCh. 8.2 - Prob. 53PPSCh. 8.2 - Prob. 54PPSCh. 8.2 - Prob. 55PPSCh. 8.2 - Prob. 56PPSCh. 8.2 - Prob. 57PPSCh. 8.2 - Prob. 58PPSCh. 8.2 - Prob. 59PPSCh. 8.2 - Prob. 60PPSCh. 8.2 - Prob. 61PPSCh. 8.2 - Prob. 62PPSCh. 8.2 - Prob. 63HPCh. 8.2 - Prob. 64HPCh. 8.2 - Prob. 65HPCh. 8.2 - Prob. 66HPCh. 8.2 - Prob. 67STPCh. 8.2 - Prob. 68STPCh. 8.2 - Prob. 69STPCh. 8.2 - Prob. 70STPCh. 8.2 - Prob. 71SRCh. 8.2 - Prob. 72SRCh. 8.2 - Prob. 73SRCh. 8.2 - Prob. 74SRCh. 8.2 - Prob. 75SRCh. 8.2 - Prob. 76SRCh. 8.2 - Prob. 77SRCh. 8.2 - Prob. 78SRCh. 8.2 - Prob. 79SRCh. 8.2 - Prob. 80SRCh. 8.2 - Prob. 81SRCh. 8.2 - Prob. 82SRCh. 8.2 - Prob. 83SRCh. 8.2 - Prob. 84SRCh. 8.2 - Prob. 85SCh. 8.2 - Prob. 86SCh. 8.2 - Prob. 87SCh. 8.2 - Prob. 88SCh. 8.2 - Prob. 89SCh. 8.2 - Prob. 90SCh. 8.3 - Prob. 1AGPCh. 8.3 - Prob. 1BGPCh. 8.3 - Prob. 2AGPCh. 8.3 - Prob. 2BGPCh. 8.3 - Prob. 3AGPCh. 8.3 - Prob. 3BGPCh. 8.3 - Prob. 4GPCh. 8.3 - Prob. 1CYUCh. 8.3 - Prob. 2CYUCh. 8.3 - Prob. 3CYUCh. 8.3 - Prob. 4CYUCh. 8.3 - Prob. 5CYUCh. 8.3 - Prob. 6CYUCh. 8.3 - Prob. 7PPSCh. 8.3 - Prob. 8PPSCh. 8.3 - Prob. 9PPSCh. 8.3 - Prob. 10PPSCh. 8.3 - Prob. 11PPSCh. 8.3 - Prob. 12PPSCh. 8.3 - Prob. 13PPSCh. 8.3 - Prob. 14PPSCh. 8.3 - Prob. 15PPSCh. 8.3 - Prob. 16PPSCh. 8.3 - Prob. 17PPSCh. 8.3 - Prob. 18PPSCh. 8.3 - Prob. 19PPSCh. 8.3 - Prob. 20PPSCh. 8.3 - Prob. 21PPSCh. 8.3 - Prob. 22PPSCh. 8.3 - Prob. 23PPSCh. 8.3 - Prob. 24PPSCh. 8.3 - Prob. 25PPSCh. 8.3 - Prob. 26PPSCh. 8.3 - Prob. 27PPSCh. 8.3 - Prob. 28PPSCh. 8.3 - Prob. 29PPSCh. 8.3 - Prob. 30PPSCh. 8.3 - Prob. 31PPSCh. 8.3 - Prob. 32PPSCh. 8.3 - Prob. 33PPSCh. 8.3 - Prob. 34PPSCh. 8.3 - Prob. 35PPSCh. 8.3 - Prob. 36PPSCh. 8.3 - Prob. 37PPSCh. 8.3 - Prob. 38HPCh. 8.3 - Prob. 39HPCh. 8.3 - Prob. 40HPCh. 8.3 - Prob. 41HPCh. 8.3 - Prob. 42HPCh. 8.3 - Prob. 43STPCh. 8.3 - Prob. 44STPCh. 8.3 - Prob. 45STPCh. 8.3 - Prob. 46STPCh. 8.3 - Prob. 47STPCh. 8.3 - Prob. 48SRCh. 8.3 - Prob. 49SRCh. 8.3 - Prob. 50SRCh. 8.3 - Prob. 51SRCh. 8.3 - Prob. 52SRCh. 8.3 - Prob. 53SRCh. 8.3 - Prob. 54SRCh. 8.3 - Prob. 55SRCh. 8.3 - Prob. 56SRCh. 8.3 - Prob. 57SRCh. 8.3 - Prob. 58SRCh. 8.3 - Prob. 59SRCh. 8.3 - Prob. 60SCh. 8.3 - Prob. 61SCh. 8.3 - Prob. 1MCQCh. 8.3 - Prob. 2MCQCh. 8.3 - Prob. 3MCQCh. 8.3 - Prob. 4MCQCh. 8.3 - Prob. 5MCQCh. 8.3 - Prob. 6MCQCh. 8.3 - Prob. 7MCQCh. 8.3 - Prob. 8MCQCh. 8.3 - Prob. 9MCQCh. 8.3 - Prob. 10MCQCh. 8.3 - Prob. 11MCQCh. 8.3 - Prob. 12MCQCh. 8.3 - Prob. 13MCQCh. 8.3 - Prob. 14MCQCh. 8.3 - Prob. 15MCQCh. 8.3 - Prob. 16MCQCh. 8.3 - Prob. 17MCQCh. 8.3 - Prob. 18MCQCh. 8.3 - Prob. 19MCQCh. 8.3 - Prob. 20MCQCh. 8.3 - Prob. 21MCQCh. 8.3 - Prob. 22MCQCh. 8.3 - Prob. 23MCQCh. 8.3 - Prob. 24MCQCh. 8.3 - Prob. 25MCQCh. 8.4 - Prob. 1AGPCh. 8.4 - Prob. 1BGPCh. 8.4 - Prob. 2GPCh. 8.4 - Prob. 3AGPCh. 8.4 - Prob. 3BGPCh. 8.4 - Prob. 4AGPCh. 8.4 - Prob. 4BGPCh. 8.4 - Prob. 1CYUCh. 8.4 - Prob. 2CYUCh. 8.4 - Prob. 3CYUCh. 8.4 - Prob. 4CYUCh. 8.4 - Prob. 5CYUCh. 8.4 - Prob. 6CYUCh. 8.4 - Prob. 7CYUCh. 8.4 - Prob. 8PPSCh. 8.4 - Prob. 9PPSCh. 8.4 - Prob. 10PPSCh. 8.4 - Prob. 11PPSCh. 8.4 - Prob. 12PPSCh. 8.4 - Prob. 13PPSCh. 8.4 - Prob. 14PPSCh. 8.4 - Prob. 15PPSCh. 8.4 - Prob. 16PPSCh. 8.4 - Prob. 17PPSCh. 8.4 - Prob. 18PPSCh. 8.4 - Prob. 19PPSCh. 8.4 - Prob. 20PPSCh. 8.4 - Prob. 21PPSCh. 8.4 - Prob. 22PPSCh. 8.4 - Prob. 23PPSCh. 8.4 - Prob. 24PPSCh. 8.4 - Prob. 25PPSCh. 8.4 - Prob. 26PPSCh. 8.4 - Prob. 27PPSCh. 8.4 - Prob. 28PPSCh. 8.4 - Prob. 29PPSCh. 8.4 - Prob. 30PPSCh. 8.4 - Prob. 31PPSCh. 8.4 - Prob. 32PPSCh. 8.4 - Prob. 33PPSCh. 8.4 - Prob. 34PPSCh. 8.4 - Prob. 35PPSCh. 8.4 - Prob. 36PPSCh. 8.4 - Prob. 37PPSCh. 8.4 - Prob. 38PPSCh. 8.4 - Prob. 39PPSCh. 8.4 - Prob. 40PPSCh. 8.4 - Prob. 41PPSCh. 8.4 - Prob. 42HPCh. 8.4 - Prob. 43HPCh. 8.4 - Prob. 44HPCh. 8.4 - Prob. 45HPCh. 8.4 - Prob. 46HPCh. 8.4 - Prob. 47STPCh. 8.4 - Prob. 48STPCh. 8.4 - Prob. 49STPCh. 8.4 - Prob. 50STPCh. 8.4 - Prob. 51SRCh. 8.4 - Prob. 52SRCh. 8.4 - Prob. 53SRCh. 8.4 - Prob. 54SRCh. 8.4 - Prob. 55SRCh. 8.4 - Prob. 56SRCh. 8.4 - Prob. 57SRCh. 8.4 - Prob. 58SRCh. 8.4 - Prob. 59SRCh. 8.4 - Prob. 60SRCh. 8.4 - Prob. 61SRCh. 8.4 - Prob. 62SCh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.5 - Prob. 1GPCh. 8.5 - Prob. 2GPCh. 8.5 - Prob. 3GPCh. 8.5 - Prob. 4GPCh. 8.5 - Prob. 5GPCh. 8.5 - Prob. 1CYUCh. 8.5 - Prob. 2CYUCh. 8.5 - Prob. 3CYUCh. 8.5 - Prob. 4CYUCh. 8.5 - Prob. 5CYUCh. 8.5 - Prob. 6CYUCh. 8.5 - Prob. 7PPSCh. 8.5 - Prob. 8PPSCh. 8.5 - Prob. 9PPSCh. 8.5 - Prob. 10PPSCh. 8.5 - Prob. 11PPSCh. 8.5 - Prob. 12PPSCh. 8.5 - Prob. 13PPSCh. 8.5 - Prob. 14PPSCh. 8.5 - Prob. 15PPSCh. 8.5 - Prob. 16PPSCh. 8.5 - Prob. 17PPSCh. 8.5 - Prob. 18PPSCh. 8.5 - Prob. 19PPSCh. 8.5 - Prob. 20PPSCh. 8.5 - Prob. 21PPSCh. 8.5 - Prob. 22PPSCh. 8.5 - Prob. 23PPSCh. 8.5 - Prob. 24PPSCh. 8.5 - Prob. 25PPSCh. 8.5 - Prob. 26PPSCh. 8.5 - Prob. 27PPSCh. 8.5 - Prob. 28PPSCh. 8.5 - Prob. 29PPSCh. 8.5 - Prob. 30PPSCh. 8.5 - Prob. 31PPSCh. 8.5 - Prob. 32PPSCh. 8.5 - Prob. 33PPSCh. 8.5 - Prob. 34PPSCh. 8.5 - Prob. 35PPSCh. 8.5 - Prob. 36PPSCh. 8.5 - Prob. 37PPSCh. 8.5 - Prob. 38PPSCh. 8.5 - Prob. 39PPSCh. 8.5 - Prob. 40PPSCh. 8.5 - Prob. 41PPSCh. 8.5 - Prob. 42PPSCh. 8.5 - Prob. 43PPSCh. 8.5 - Prob. 44PPSCh. 8.5 - Prob. 45PPSCh. 8.5 - Prob. 46PPSCh. 8.5 - Prob. 47PPSCh. 8.5 - Prob. 48HPCh. 8.5 - Prob. 49HPCh. 8.5 - Prob. 50HPCh. 8.5 - Prob. 51HPCh. 8.5 - Prob. 52HPCh. 8.5 - Prob. 53STPCh. 8.5 - Prob. 54STPCh. 8.5 - Prob. 55STPCh. 8.5 - Prob. 56STPCh. 8.5 - Prob. 57SRCh. 8.5 - Prob. 58SRCh. 8.5 - Prob. 59SRCh. 8.5 - Prob. 60SRCh. 8.5 - Prob. 61SRCh. 8.5 - Prob. 62SRCh. 8.5 - Prob. 63SRCh. 8.5 - Prob. 64SRCh. 8.5 - Prob. 65SRCh. 8.5 - Prob. 66SRCh. 8.5 - Prob. 67SCh. 8.5 - Prob. 68SCh. 8.5 - Prob. 69SCh. 8.5 - Prob. 70SCh. 8.5 - Prob. 71SCh. 8.5 - Prob. 72SCh. 8.6 - Prob. 1AGPCh. 8.6 - Prob. 1BGPCh. 8.6 - Prob. 2AGPCh. 8.6 - Prob. 2BGPCh. 8.6 - Prob. 2CGPCh. 8.6 - Prob. 2DGPCh. 8.6 - Prob. 3GPCh. 8.6 - Prob. 4GPCh. 8.6 - Prob. 5AGPCh. 8.6 - Prob. 5BGPCh. 8.6 - Prob. 6AGPCh. 8.6 - Prob. 6BGPCh. 8.6 - Prob. 1CYUCh. 8.6 - Prob. 2CYUCh. 8.6 - Prob. 3CYUCh. 8.6 - Prob. 4CYUCh. 8.6 - Prob. 5CYUCh. 8.6 - Prob. 6CYUCh. 8.6 - Prob. 7CYUCh. 8.6 - Prob. 8CYUCh. 8.6 - Prob. 9CYUCh. 8.6 - Prob. 10CYUCh. 8.6 - Prob. 11CYUCh. 8.6 - Prob. 12CYUCh. 8.6 - Prob. 13CYUCh. 8.6 - Prob. 14CYUCh. 8.6 - Prob. 15CYUCh. 8.6 - Prob. 16PPSCh. 8.6 - Prob. 17PPSCh. 8.6 - Prob. 18PPSCh. 8.6 - Prob. 19PPSCh. 8.6 - Prob. 20PPSCh. 8.6 - Prob. 21PPSCh. 8.6 - Prob. 22PPSCh. 8.6 - Prob. 23PPSCh. 8.6 - Prob. 24PPSCh. 8.6 - Prob. 25PPSCh. 8.6 - Prob. 26PPSCh. 8.6 - Prob. 27PPSCh. 8.6 - Prob. 28PPSCh. 8.6 - Prob. 29PPSCh. 8.6 - Prob. 30PPSCh. 8.6 - Prob. 31PPSCh. 8.6 - Prob. 32PPSCh. 8.6 - Prob. 33PPSCh. 8.6 - Prob. 34PPSCh. 8.6 - Prob. 35PPSCh. 8.6 - Prob. 36HPCh. 8.6 - Prob. 37HPCh. 8.6 - Prob. 38HPCh. 8.6 - Prob. 39HPCh. 8.6 - Prob. 40STPCh. 8.6 - Prob. 41STPCh. 8.6 - Prob. 42STPCh. 8.6 - Prob. 43STPCh. 8.6 - Prob. 44SRCh. 8.6 - Prob. 45SRCh. 8.6 - Prob. 46SRCh. 8.6 - Prob. 47SRCh. 8.6 - Prob. 48SRCh. 8.6 - Prob. 49SRCh. 8.6 - Prob. 50SRCh. 8.6 - Prob. 51SRCh. 8.6 - Prob. 52SCh. 8.6 - Prob. 53SCh. 8.6 - Prob. 54SCh. 8.6 - Prob. 1ECh. 8.6 - Prob. 2ECh. 8.6 - Prob. 3ECh. 8.6 - Prob. 4ECh. 8.6 - Prob. 5ECh. 8.6 - Prob. 6ECh. 8.6 - Prob. 7ECh. 8.6 - Prob. 8ECh. 8.6 - Prob. 9ECh. 8 - Prob. 1QCCh. 8 - Prob. 2QCCh. 8 - Prob. 3QCCh. 8 - Prob. 4QCCh. 8 - Prob. 5QCCh. 8 - Prob. 6QCCh. 8 - Prob. 7QCCh. 8 - Prob. 8QCCh. 8 - Prob. 9QCCh. 8 - Prob. 10QCCh. 8 - Prob. 11QCCh. 8 - Prob. 12QCCh. 8 - Prob. 13QCCh. 8 - Prob. 14QCCh. 8 - Prob. 1SGRCh. 8 - Prob. 2SGRCh. 8 - Prob. 3SGRCh. 8 - Prob. 4SGRCh. 8 - Prob. 5SGRCh. 8 - Prob. 6SGRCh. 8 - Prob. 7SGRCh. 8 - Prob. 8SGRCh. 8 - Prob. 9SGRCh. 8 - Prob. 10SGRCh. 8 - Prob. 11SGRCh. 8 - Prob. 12SGRCh. 8 - Prob. 13SGRCh. 8 - Prob. 14SGRCh. 8 - Prob. 15SGRCh. 8 - Prob. 16SGRCh. 8 - Prob. 17SGRCh. 8 - Prob. 18SGRCh. 8 - Prob. 19SGRCh. 8 - Prob. 20SGRCh. 8 - Prob. 21SGRCh. 8 - Prob. 22SGRCh. 8 - Prob. 23SGRCh. 8 - Prob. 24SGRCh. 8 - Prob. 25SGRCh. 8 - Prob. 26SGRCh. 8 - Prob. 27SGRCh. 8 - Prob. 28SGRCh. 8 - Prob. 29SGRCh. 8 - Prob. 30SGRCh. 8 - Prob. 31SGRCh. 8 - Prob. 32SGRCh. 8 - Prob. 33SGRCh. 8 - Prob. 34SGRCh. 8 - Prob. 35SGRCh. 8 - Prob. 36SGRCh. 8 - Prob. 37SGRCh. 8 - Prob. 38SGRCh. 8 - Prob. 39SGRCh. 8 - Prob. 40SGRCh. 8 - Prob. 41SGRCh. 8 - Prob. 42SGRCh. 8 - Prob. 43SGRCh. 8 - Prob. 44SGRCh. 8 - Prob. 45SGRCh. 8 - Prob. 46SGRCh. 8 - Prob. 47SGRCh. 8 - Prob. 48SGRCh. 8 - Prob. 49SGRCh. 8 - Prob. 50SGRCh. 8 - Prob. 51SGRCh. 8 - Prob. 52SGRCh. 8 - Prob. 1PTCh. 8 - Prob. 2PTCh. 8 - Prob. 3PTCh. 8 - Prob. 4PTCh. 8 - Prob. 5PTCh. 8 - Prob. 6PTCh. 8 - Prob. 7PTCh. 8 - Prob. 8PTCh. 8 - Prob. 9PTCh. 8 - Prob. 10PTCh. 8 - Prob. 11PTCh. 8 - Prob. 12PTCh. 8 - Prob. 13PTCh. 8 - Prob. 14PTCh. 8 - Prob. 15PTCh. 8 - Prob. 16PTCh. 8 - Prob. 17PTCh. 8 - Prob. 18PTCh. 8 - Prob. 19PTCh. 8 - Prob. 20PTCh. 8 - Prob. 21PTCh. 8 - Prob. 22PTCh. 8 - Prob. 23PTCh. 8 - Prob. 24PTCh. 8 - Prob. 25PTCh. 8 - Prob. 26PTCh. 8 - Prob. 27PTCh. 8 - Prob. 28PTCh. 8 - Prob. 29PTCh. 8 - Prob. 30PTCh. 8 - Prob. 31PTCh. 8 - Prob. 1ECh. 8 - Prob. 2ECh. 8 - Prob. 3ECh. 8 - Prob. 4ECh. 8 - Prob. 1STPCh. 8 - Prob. 2STPCh. 8 - Prob. 3STPCh. 8 - Prob. 4STPCh. 8 - Prob. 5STPCh. 8 - Prob. 6STPCh. 8 - Prob. 7STPCh. 8 - Prob. 8STPCh. 8 - Prob. 9STPCh. 8 - Prob. 10STPCh. 8 - Prob. 11STPCh. 8 - Prob. 12STPCh. 8 - Prob. 13STPCh. 8 - Prob. 14STPCh. 8 - Prob. 15STP
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