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32. Solve: Vx 8 V2x9 =1 -

32. Solve: Vx 8 V2x9 =1 -

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 36WE
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32. Solve: Vx 8 V2x9 =1 -
Transcribed Image Text:32. Solve: Vx 8 V2x9 =1 -
Expert Solution
Step 1

We add sqrt(2x+9) to both sides

VX+8-2x+9 =1 Or, V+8 1+ /2x+9
Step 2

Then we square both sides.Then we simplify right side. Later subtracted 2x and 10 from both sides.

Vx+8 12x+9 Or, +8)(1+2x+9 Or, X+8 1+22x+9 +2x+9 Or, X+8 2x+10+2/2x+9 Or, -x-2-2V2X+9 2
Step 3

We square both sides again

 

-х-232 2х+9 Or, x-2)(22x+9 ) Or, x2+4x+4 4(2x+9) Or, x2+4x+4-8x+36 Or, х?-4x-32-0 Оr, (x+4)(х-8)-0
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