What is the answer to sqrt(4x)-sqrt(2x+1)=1 ?

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

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sqrt(4x)-sqrt(2x+1)=1

4 x - 2 x + 1 = 1

x = 4

Solution steps

4 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^{\frac{1}{2}} = 5^{2}

x^{2} = 1

- 2 x^{\frac{3}{4}} = - 16

x^{2} = 2

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