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Answer 1 · 2016-11-13T10:20:11

$x=5/8$

Given: $" "sqrt(2x+1)/sqrt(2x-1)=3$

Square both sides giving:

$(2x+1)/(2x-1)=9$

Multiply both sides by $(2x+1)$

$2x+1=9(2x-1)$

$2x+1=18x-9$

Subtract $2x$ from both sides

$1=16x-9$

Add 9 to both sides

$10=16x$

Divide both sides by 16

$10/16=x$

Write as: $x=10/16 -=(10-:2)/(16-:2) = 5/8$

Answer 2 · 2016-11-13T12:16:04

$x = 5/8$

Square both sides and solve

$sqrt(2x + 1)/sqrt(2x -1) = 3" "$ square both sides to get:

$(2x + 1)/(2x - 1) = 9" "$ from which:

$2x + 1 = 18x - 9" "$ collect like terms to get:

$10 = 16x" "$ which yields

$x = 10/16 = 5 /8$