What is the answer to 2sqrt(x)-sqrt(2x+1)=1 ?

The answer to 2sqrt(x)-sqrt(2x+1)=1 is x=4

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2sqrt(x)-sqrt(2x+1)=1

2 x - 2 x + 1 = 1

x = 4

Solution steps

2 x - 2 x + 1 = 1

Remove square roots

4 x^{2} - 8 x + 4 = 8 x + 4

Solve

4 x^{2} - 8 x + 4 = 8 x + 4 : x = 4, x = 0

x = 4, x = 0

Verify Solutions:

x = 4

True

, x = 0

False

The solution is

x = 4

x^{2} - 7 = 3

x - 3 + 1 = 5

16 - 32 x + 16 x^{2} = 36 - 4 x

x = x + 7 + 5

What is the answer to 2sqrt(x)-sqrt(2x+1)=1 ?
The answer to 2sqrt(x)-sqrt(2x+1)=1 is x=4
Solve for x: 2sqrt(x)-sqrt(2x+1)=1
The solution is x=4