Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 9, Problem 48SGR
To determine

To solve: The given equation and check your solution.

Expert Solution & Answer
Check Mark

Answer to Problem 48SGR

Both x=−0.5 and x=−4 .

Explanation of Solution

Given information:

The given equation is 42x−3+xx+1=−8x2x2−x−3 .

Calculation:

Eliminate the fraction of the given equation by multiplying each side of the equation by the least common denominator (LCD).

  42x−3+xx+1=−8x2x2−x−34(2x−3)+x(x+1)=−8x(2x−3)(x+1)

The LCD for the terms is (2x−3)(x+1) .

  4(2x−3)+x(x+1)=−8x(2x−3)(x+1)                                               (2x−3)(x+1)4(2x−3)+(2x−3)(x+1)x(x+1)=(2x−3)(x+1)−8x(2x−3)(x+1)        (Multiply by LCD)4(x+1)+x(2x−3)=−8x                                  (Divide common factors)4x+4+2x2−3x=−8x                                      (Multiply)2x2+x+8x+4=0                                             ( Add 8x to both sides)2x2+9x+4=0                                                  (Simplify)(2x+1)(x+4)=0                                               (Factorize)2x+1=0     or       x+4=0                                (Simplify)2x=−1      or         x=−4x=−12x=−0.5

Check: Try x=−0.5

  42x−3+xx+1=−8x2x2−x−3                                       (Original equation)42(−0.5)−3+(−0.5)(−0.5)+1=?−8(−0.5)2(−0.5)2−(−0.5)−3       (Substitute x=−0.5)4−1−3−0.50.5=?40.5+0.5−34−4−1=?4−2−1−1=?−2−2=−2

Try

  x=−4

  42x−3+xx+1=−8x2x2−x−3                                       (Original equation)42(−4)−3+(−4)(−4)+1=?−8(−4)2(−4)2−(−4)−3                  (Substitute x=−4)4−8−3+(−4)(−3)=?3232+4−34−11+43=?323312−44−33=?3233−32−33=?32333233=3233

Hence,

Both x=−0.5 and x=−4 .

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Chapter 9, Problem 47SGR
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Chapter 9, Problem 49SGR

Chapter 9 Solutions

Algebra 2

Ch. 9.1 - Prob. 1ACYPCh. 9.1 - Prob. 1BCYPCh. 9.1 - Prob. 2CYPCh. 9.1 - Prob. 3ACYPCh. 9.1 - Prob. 3BCYPCh. 9.1 - Prob. 4ACYPCh. 9.1 - Prob. 4BCYPCh. 9.1 - Prob. 4CCYPCh. 9.1 - Prob. 4DCYPCh. 9.1 - Prob. 5ACYP
Ch. 9.1 - Prob. 5BCYPCh. 9.1 - Prob. 6ACYPCh. 9.1 - Prob. 6BCYPCh. 9.1 - Prob. 1CYUCh. 9.1 - Prob. 2CYUCh. 9.1 - Prob. 3CYUCh. 9.1 - Prob. 4CYUCh. 9.1 - Prob. 5CYUCh. 9.1 - Prob. 6CYUCh. 9.1 - Prob. 7CYUCh. 9.1 - Prob. 8CYUCh. 9.1 - Prob. 9CYUCh. 9.1 - Prob. 10CYUCh. 9.1 - Prob. 11CYUCh. 9.1 - Prob. 12CYUCh. 9.1 - Prob. 13PPSCh. 9.1 - Prob. 14PPSCh. 9.1 - Prob. 15PPSCh. 9.1 - Prob. 16PPSCh. 9.1 - Prob. 17PPSCh. 9.1 - Prob. 18PPSCh. 9.1 - Prob. 19PPSCh. 9.1 - Prob. 20PPSCh. 9.1 - Prob. 21PPSCh. 9.1 - Prob. 22PPSCh. 9.1 - Prob. 23PPSCh. 9.1 - Prob. 24PPSCh. 9.1 - Prob. 25PPSCh. 9.1 - Prob. 26PPSCh. 9.1 - Prob. 27PPSCh. 9.1 - Prob. 28PPSCh. 9.1 - Prob. 29PPSCh. 9.1 - Prob. 30PPSCh. 9.1 - Prob. 31PPSCh. 9.1 - Prob. 32PPSCh. 9.1 - Prob. 33PPSCh. 9.1 - Prob. 34PPSCh. 9.1 - Prob. 35PPSCh. 9.1 - Prob. 36PPSCh. 9.1 - Prob. 37PPSCh. 9.1 - Prob. 38PPSCh. 9.1 - Prob. 39PPSCh. 9.1 - Prob. 40PPSCh. 9.1 - Prob. 41PPSCh. 9.1 - Prob. 42PPSCh. 9.1 - Prob. 43PPSCh. 9.1 - Prob. 44PPSCh. 9.1 - Prob. 45PPSCh. 9.1 - Prob. 46PPSCh. 9.1 - Prob. 47PPSCh. 9.1 - Prob. 48PPSCh. 9.1 - Prob. 49PPSCh. 9.1 - Prob. 50PPSCh. 9.1 - Prob. 51PPSCh. 9.1 - Prob. 52PPSCh. 9.1 - Prob. 53PPSCh. 9.1 - Prob. 54PPSCh. 9.1 - Prob. 55PPSCh. 9.1 - Prob. 56PPSCh. 9.1 - Prob. 57PPSCh. 9.1 - Prob. 58PPSCh. 9.1 - Prob. 59HPCh. 9.1 - Prob. 60HPCh. 9.1 - Prob. 61HPCh. 9.1 - Prob. 62HPCh. 9.1 - Prob. 63HPCh. 9.1 - Prob. 64HPCh. 9.1 - Prob. 65HPCh. 9.1 - Prob. 66HPCh. 9.1 - Prob. 67HPCh. 9.1 - Prob. 68HPCh. 9.1 - Prob. 69HPCh. 9.1 - Prob. 70STPCh. 9.1 - Prob. 71STPCh. 9.1 - Prob. 72STPCh. 9.1 - Prob. 73STPCh. 9.1 - Prob. 74STPCh. 9.1 - Prob. 75STPCh. 9.1 - Prob. 76STPCh. 9.1 - Prob. 77STPCh. 9.1 - Prob. 78STPCh. 9.1 - Prob. 79STPCh. 9.1 - Prob. 80STPCh. 9.1 - Prob. 81SCh. 9.1 - Prob. 82SCh. 9.1 - Prob. 83SCh. 9.1 - Prob. 84SCh. 9.1 - Prob. 85SCh. 9.1 - Prob. 86SCh. 9.2 - Prob. 1ACYPCh. 9.2 - Prob. 1BCYPCh. 9.2 - Prob. 2ACYPCh. 9.2 - Prob. 2BCYPCh. 9.2 - Prob. 3ACYPCh. 9.2 - Prob. 3BCYPCh. 9.2 - Prob. 4ACYPCh. 9.2 - Prob. 4BCYPCh. 9.2 - Prob. 5ACYPCh. 9.2 - Prob. 5BCYPCh. 9.2 - Prob. 5CCYPCh. 9.2 - Prob. 5DCYPCh. 9.2 - Prob. 1CYUCh. 9.2 - Prob. 2CYUCh. 9.2 - Prob. 3CYUCh. 9.2 - Prob. 4CYUCh. 9.2 - Prob. 5CYUCh. 9.2 - Prob. 6CYUCh. 9.2 - Prob. 7CYUCh. 9.2 - Prob. 8CYUCh. 9.2 - Prob. 9CYUCh. 9.2 - Prob. 10CYUCh. 9.2 - Prob. 11CYUCh. 9.2 - Prob. 12CYUCh. 9.2 - Prob. 13CYUCh. 9.2 - Prob. 14CYUCh. 9.2 - Prob. 15CYUCh. 9.2 - Prob. 16CYUCh. 9.2 - Prob. 17CYUCh. 9.2 - Prob. 18PPSCh. 9.2 - Prob. 19PPSCh. 9.2 - Prob. 20PPSCh. 9.2 - Prob. 21PPSCh. 9.2 - Prob. 22PPSCh. 9.2 - Prob. 23PPSCh. 9.2 - Prob. 24PPSCh. 9.2 - Prob. 25PPSCh. 9.2 - Prob. 26PPSCh. 9.2 - Prob. 27PPSCh. 9.2 - Prob. 28PPSCh. 9.2 - Prob. 29PPSCh. 9.2 - Prob. 30PPSCh. 9.2 - Prob. 31PPSCh. 9.2 - Prob. 32PPSCh. 9.2 - Prob. 33PPSCh. 9.2 - Prob. 34PPSCh. 9.2 - Prob. 35PPSCh. 9.2 - Prob. 36PPSCh. 9.2 - Prob. 37PPSCh. 9.2 - Prob. 38PPSCh. 9.2 - Prob. 39PPSCh. 9.2 - Prob. 40PPSCh. 9.2 - Prob. 41PPSCh. 9.2 - Prob. 42PPSCh. 9.2 - Prob. 43PPSCh. 9.2 - Prob. 44PPSCh. 9.2 - Prob. 45PPSCh. 9.2 - 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Prob. 3ACYPCh. 9.3 - Prob. 3BCYPCh. 9.3 - Prob. 4CYPCh. 9.3 - Prob. 1CYUCh. 9.3 - Prob. 2CYUCh. 9.3 - Prob. 3CYUCh. 9.3 - Prob. 4CYUCh. 9.3 - Prob. 5CYUCh. 9.3 - Prob. 6CYUCh. 9.3 - Prob. 7PPSCh. 9.3 - Prob. 8PPSCh. 9.3 - Prob. 9PPSCh. 9.3 - Prob. 10PPSCh. 9.3 - Prob. 11PPSCh. 9.3 - Prob. 12PPSCh. 9.3 - Prob. 13PPSCh. 9.3 - Prob. 14PPSCh. 9.3 - Prob. 15PPSCh. 9.3 - Prob. 16PPSCh. 9.3 - Prob. 17PPSCh. 9.3 - Prob. 18PPSCh. 9.3 - Prob. 19PPSCh. 9.3 - Prob. 20PPSCh. 9.3 - Prob. 21PPSCh. 9.3 - Prob. 22PPSCh. 9.3 - Prob. 23PPSCh. 9.3 - Prob. 24PPSCh. 9.3 - Prob. 25PPSCh. 9.3 - Prob. 26PPSCh. 9.3 - Prob. 27PPSCh. 9.3 - Prob. 28PPSCh. 9.3 - Prob. 29PPSCh. 9.3 - Prob. 30PPSCh. 9.3 - Prob. 31PPSCh. 9.3 - Prob. 32PPSCh. 9.3 - Prob. 33PPSCh. 9.3 - Prob. 34PPSCh. 9.3 - Prob. 35PPSCh. 9.3 - Prob. 36PPSCh. 9.3 - Prob. 37PPSCh. 9.3 - Prob. 38HPCh. 9.3 - Prob. 39HPCh. 9.3 - Prob. 40HPCh. 9.3 - Prob. 41HPCh. 9.3 - Prob. 42HPCh. 9.3 - Prob. 43HPCh. 9.3 - Prob. 44HPCh. 9.3 - Prob. 45HPCh. 9.3 - Prob. 46HPCh. 9.3 - Prob. 47HPCh. 9.3 - Prob. 48STPCh. 9.3 - Prob. 49STPCh. 9.3 - Prob. 50STPCh. 9.3 - Prob. 51STPCh. 9.3 - Prob. 52STPCh. 9.3 - Prob. 53STPCh. 9.3 - Prob. 54STPCh. 9.3 - Prob. 55STPCh. 9.3 - Prob. 56STPCh. 9.3 - Prob. 57STPCh. 9.3 - Prob. 58STPCh. 9.3 - Prob. 59STPCh. 9.3 - Prob. 60SCh. 9.3 - Prob. 61SCh. 9.4 - Prob. 1ACYPCh. 9.4 - Prob. 1BCYPCh. 9.4 - Prob. 2CYPCh. 9.4 - Prob. 3ACYPCh. 9.4 - Prob. 3BCYPCh. 9.4 - Prob. 4ACYPCh. 9.4 - Prob. 4BCYPCh. 9.4 - Prob. 1CYUCh. 9.4 - Prob. 2CYUCh. 9.4 - Prob. 3CYUCh. 9.4 - Prob. 4CYUCh. 9.4 - Prob. 5CYUCh. 9.4 - Prob. 6CYUCh. 9.4 - Prob. 7CYUCh. 9.4 - Prob. 8PPSCh. 9.4 - Prob. 9PPSCh. 9.4 - Prob. 10PPSCh. 9.4 - Prob. 11PPSCh. 9.4 - Prob. 12PPSCh. 9.4 - Prob. 13PPSCh. 9.4 - Prob. 14PPSCh. 9.4 - Prob. 15PPSCh. 9.4 - Prob. 16PPSCh. 9.4 - Prob. 17PPSCh. 9.4 - Prob. 18PPSCh. 9.4 - Prob. 19PPSCh. 9.4 - Prob. 20PPSCh. 9.4 - Prob. 21PPSCh. 9.4 - Prob. 22PPSCh. 9.4 - Prob. 23PPSCh. 9.4 - Prob. 24PPSCh. 9.4 - Prob. 25PPSCh. 9.4 - Prob. 26PPSCh. 9.4 - Prob. 27PPSCh. 9.4 - Prob. 28PPSCh. 9.4 - Prob. 29PPSCh. 9.4 - Prob. 30PPSCh. 9.4 - Prob. 31PPSCh. 9.4 - Prob. 32PPSCh. 9.4 - Prob. 33PPSCh. 9.4 - Prob. 34PPSCh. 9.4 - Prob. 35PPSCh. 9.4 - Prob. 36PPSCh. 9.4 - Prob. 37PPSCh. 9.4 - Prob. 38PPSCh. 9.4 - Prob. 39PPSCh. 9.4 - Prob. 40PPSCh. 9.4 - Prob. 41PPSCh. 9.4 - Prob. 42HPCh. 9.4 - Prob. 43HPCh. 9.4 - Prob. 44HPCh. 9.4 - Prob. 45HPCh. 9.4 - Prob. 46HPCh. 9.4 - Prob. 47HPCh. 9.4 - Prob. 48HPCh. 9.4 - Prob. 49HPCh. 9.4 - Prob. 50HPCh. 9.4 - Prob. 51STPCh. 9.4 - Prob. 52STPCh. 9.4 - Prob. 53STPCh. 9.4 - Prob. 54STPCh. 9.4 - Prob. 55STPCh. 9.4 - Prob. 56STPCh. 9.4 - Prob. 57STPCh. 9.4 - Prob. 58STPCh. 9.4 - Prob. 59STPCh. 9.4 - Prob. 60STPCh. 9.4 - Prob. 61STPCh. 9.4 - Prob. 62SCh. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.5 - Prob. 1CYPCh. 9.5 - Prob. 2CYPCh. 9.5 - Prob. 3CYPCh. 9.5 - Prob. 4CYPCh. 9.5 - Prob. 5CYPCh. 9.5 - Prob. 1CYUCh. 9.5 - Prob. 2CYUCh. 9.5 - Prob. 3CYUCh. 9.5 - Prob. 4CYUCh. 9.5 - Prob. 5CYUCh. 9.5 - Prob. 6CYUCh. 9.5 - Prob. 7PPSCh. 9.5 - Prob. 8PPSCh. 9.5 - Prob. 9PPSCh. 9.5 - Prob. 10PPSCh. 9.5 - Prob. 11PPSCh. 9.5 - Prob. 12PPSCh. 9.5 - Prob. 13PPSCh. 9.5 - Prob. 14PPSCh. 9.5 - Prob. 15PPSCh. 9.5 - Prob. 16PPSCh. 9.5 - Prob. 17PPSCh. 9.5 - Prob. 18PPSCh. 9.5 - Prob. 19PPSCh. 9.5 - Prob. 20PPSCh. 9.5 - Prob. 21PPSCh. 9.5 - Prob. 22PPSCh. 9.5 - Prob. 23PPSCh. 9.5 - Prob. 24PPSCh. 9.5 - Prob. 25PPSCh. 9.5 - Prob. 26PPSCh. 9.5 - Prob. 27PPSCh. 9.5 - Prob. 28PPSCh. 9.5 - Prob. 29PPSCh. 9.5 - Prob. 30PPSCh. 9.5 - Prob. 31PPSCh. 9.5 - Prob. 32PPSCh. 9.5 - Prob. 33PPSCh. 9.5 - Prob. 34PPSCh. 9.5 - Prob. 35PPSCh. 9.5 - Prob. 36PPSCh. 9.5 - Prob. 37PPSCh. 9.5 - Prob. 38PPSCh. 9.5 - Prob. 39PPSCh. 9.5 - Prob. 40PPSCh. 9.5 - Prob. 41PPSCh. 9.5 - Prob. 42PPSCh. 9.5 - Prob. 43PPSCh. 9.5 - Prob. 44PPSCh. 9.5 - Prob. 45PPSCh. 9.5 - Prob. 46PPSCh. 9.5 - Prob. 47PPSCh. 9.5 - Prob. 48HPCh. 9.5 - Prob. 49HPCh. 9.5 - Prob. 50HPCh. 9.5 - Prob. 51HPCh. 9.5 - Prob. 52HPCh. 9.5 - Prob. 53HPCh. 9.5 - Prob. 54HPCh. 9.5 - Prob. 55HPCh. 9.5 - Prob. 56HPCh. 9.5 - Prob. 57STPCh. 9.5 - Prob. 58STPCh. 9.5 - Prob. 59STPCh. 9.5 - Prob. 60STPCh. 9.5 - Prob. 61STPCh. 9.5 - Prob. 62STPCh. 9.5 - Prob. 63STPCh. 9.5 - Prob. 64STPCh. 9.5 - Prob. 65STPCh. 9.5 - Prob. 66STPCh. 9.5 - Prob. 67SCh. 9.5 - Prob. 68SCh. 9.5 - Prob. 69SCh. 9.5 - Prob. 70SCh. 9.5 - Prob. 71SCh. 9.5 - Prob. 72SCh. 9.6 - Prob. 1ACYPCh. 9.6 - Prob. 1BCYPCh. 9.6 - Prob. 2ACYPCh. 9.6 - Prob. 2BCYPCh. 9.6 - Prob. 2CCYPCh. 9.6 - Prob. 2DCYPCh. 9.6 - Prob. 3CYPCh. 9.6 - Prob. 4CYPCh. 9.6 - Prob. 5ACYPCh. 9.6 - Prob. 5BCYPCh. 9.6 - Prob. 6ACYPCh. 9.6 - Prob. 6BCYPCh. 9.6 - Prob. 1CYUCh. 9.6 - Prob. 2CYUCh. 9.6 - Prob. 3CYUCh. 9.6 - Prob. 4CYUCh. 9.6 - Prob. 5CYUCh. 9.6 - Prob. 6CYUCh. 9.6 - Prob. 7CYUCh. 9.6 - Prob. 8CYUCh. 9.6 - Prob. 9CYUCh. 9.6 - Prob. 10CYUCh. 9.6 - Prob. 11CYUCh. 9.6 - Prob. 12CYUCh. 9.6 - Prob. 13CYUCh. 9.6 - Prob. 14CYUCh. 9.6 - Prob. 15CYUCh. 9.6 - Prob. 16PPSCh. 9.6 - Prob. 17PPSCh. 9.6 - Prob. 18PPSCh. 9.6 - Prob. 19PPSCh. 9.6 - Prob. 20PPSCh. 9.6 - Prob. 21PPSCh. 9.6 - Prob. 22PPSCh. 9.6 - Prob. 23PPSCh. 9.6 - Prob. 24PPSCh. 9.6 - Prob. 25PPSCh. 9.6 - Prob. 26PPSCh. 9.6 - Prob. 27PPSCh. 9.6 - Prob. 28PPSCh. 9.6 - Prob. 29PPSCh. 9.6 - Prob. 30PPSCh. 9.6 - Prob. 31PPSCh. 9.6 - Prob. 32PPSCh. 9.6 - Prob. 33PPSCh. 9.6 - Prob. 34PPSCh. 9.6 - Prob. 35PPSCh. 9.6 - Prob. 36HPCh. 9.6 - Prob. 37HPCh. 9.6 - Prob. 38HPCh. 9.6 - Prob. 39HPCh. 9.6 - Prob. 40HPCh. 9.6 - Prob. 41HPCh. 9.6 - Prob. 42HPCh. 9.6 - Prob. 43HPCh. 9.6 - Prob. 44STPCh. 9.6 - Prob. 45STPCh. 9.6 - Prob. 46STPCh. 9.6 - Prob. 47STPCh. 9.6 - Prob. 48STPCh. 9.6 - Prob. 49STPCh. 9.6 - Prob. 50STPCh. 9.6 - Prob. 51STPCh. 9.6 - Prob. 52SCh. 9.6 - Prob. 53SCh. 9.6 - Prob. 54SCh. 9.6 - Prob. 1ECh. 9.6 - Prob. 2ECh. 9.6 - Prob. 3ECh. 9.6 - Prob. 4ECh. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 9 - Prob. 1QCCh. 9 - Prob. 2QCCh. 9 - Prob. 3QCCh. 9 - Prob. 4QCCh. 9 - Prob. 5QCCh. 9 - Prob. 6QCCh. 9 - Prob. 7QCCh. 9 - Prob. 8QCCh. 9 - Prob. 9QCCh. 9 - Prob. 10QCCh. 9 - Prob. 11QCCh. 9 - Prob. 12QCCh. 9 - Prob. 13QCCh. 9 - Prob. 14QCCh. 9 - Prob. 1MCQCh. 9 - Prob. 2MCQCh. 9 - Prob. 3MCQCh. 9 - Prob. 4MCQCh. 9 - Prob. 5MCQCh. 9 - Prob. 6MCQCh. 9 - Prob. 7MCQCh. 9 - Prob. 8MCQCh. 9 - Prob. 9MCQCh. 9 - Prob. 10MCQCh. 9 - Prob. 11MCQCh. 9 - Prob. 12MCQCh. 9 - Prob. 13MCQCh. 9 - Prob. 14MCQCh. 9 - Prob. 15MCQCh. 9 - Prob. 16MCQCh. 9 - Prob. 17MCQCh. 9 - Prob. 18MCQCh. 9 - Prob. 19MCQCh. 9 - Prob. 20MCQCh. 9 - Prob. 21MCQCh. 9 - Prob. 22MCQCh. 9 - Prob. 23MCQCh. 9 - Prob. 24MCQCh. 9 - Prob. 25MCQCh. 9 - Prob. 1SGRCh. 9 - Prob. 2SGRCh. 9 - Prob. 3SGRCh. 9 - Prob. 4SGRCh. 9 - Prob. 5SGRCh. 9 - Prob. 6SGRCh. 9 - Prob. 7SGRCh. 9 - Prob. 8SGRCh. 9 - Prob. 9SGRCh. 9 - Prob. 10SGRCh. 9 - Prob. 11SGRCh. 9 - Prob. 12SGRCh. 9 - Prob. 13SGRCh. 9 - Prob. 14SGRCh. 9 - Prob. 15SGRCh. 9 - Prob. 16SGRCh. 9 - Prob. 17SGRCh. 9 - Prob. 18SGRCh. 9 - Prob. 19SGRCh. 9 - Prob. 20SGRCh. 9 - Prob. 21SGRCh. 9 - Prob. 22SGRCh. 9 - 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Prob. 26PTCh. 9 - Prob. 27PTCh. 9 - Prob. 28PTCh. 9 - Prob. 29PTCh. 9 - Prob. 30PTCh. 9 - Prob. 31PTCh. 9 - Prob. 1ECh. 9 - Prob. 2ECh. 9 - Prob. 3ECh. 9 - Prob. 4ECh. 9 - Prob. 1STPCh. 9 - Prob. 2STPCh. 9 - Prob. 3STPCh. 9 - Prob. 4STPCh. 9 - Prob. 5STPCh. 9 - Prob. 6STPCh. 9 - Prob. 7STPCh. 9 - Prob. 8STPCh. 9 - Prob. 9STPCh. 9 - Prob. 10STPCh. 9 - Prob. 11STPCh. 9 - Prob. 12STPCh. 9 - Prob. 13STPCh. 9 - Prob. 14STPCh. 9 - Prob. 15STP

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