Question #e9fb6

2 Answers
Nov 13, 2016

Answer:

#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#

Nov 13, 2016

Answer:

#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#