SOLUTION: 2 times sq. root of x minus sq. root of 2x+1=1

Question 102403This question is from textbook
: 2 times sq. root of x minus sq. root of 2x+1=1 This question is from textbook

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
2sqrt(x)-sqrt(2x+1)=1
2sqrt(x)-1=sqrt(2x+1)
4x-4sqrt(x)+1=2x+1 square both sides
-4sqrt(x)=-2x subtract 4x+1 from each side.
16x=4x^2 square both sides
4x^2-16x=0 subtract 16x from each side.
4x(x-4)=0 factor
x=0, x=4
Check:
2sqrt(0)-sqrt(0+1)=1...-1=1 false so x=0 is not an answer.
2sqrt(4)-sqrt(2*4+1)=1...2*2-3=1 true so x=4 is the only answer.
Ed
RELATED QUESTIONS
3 SQ. ROOT OF 8 + 2 SQ. ROOT OF... (answered by kara!)

My question is: sq root of 3 divided by (sq root of 15 minus sq root of 6) Thank... (answered by Fombitz)

another problem: sq root of x-2 divided by sq root of... (answered by funmath)

The number of solutions for square root of (5x+7) - sq. root of (3x+1) = sq. root of... (answered by malglu)

2 times the sq root of 90 + 3 times the sq root of 40 - 4 times the sq root of 10 =... (answered by lazi)

sq root(3x+1)=sq root(x+4) +... (answered by checkley71)

find the square root of (1-2 sq rt... (answered by Alan3354,MathLover1)

g(x)=sq root of 3x-27 (answered by Alan3354)

Simplify radical expressions SQ root of x^2y^2 SQ root of 100 + 144 SQ root of (answered by jim_thompson5910)