Question

Question #e9fb6

Answer 1

`x=5/8`

Explanation:

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

`x = 5/8`

Explanation:

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`