What is the answer to 4x-4sqrt(x)+1=0 ?

The answer to 4x-4sqrt(x)+1=0 is x= 1/4

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4x-4sqrt(x)+1=0

4 x - 4 x + 1 = 0

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

4 x - 4 x + 1 = 0

Remove square roots

16 x = 16 x^{2} + 8 x + 1

Solve

16 x = 16 x^{2} + 8 x + 1 : x = \frac{1}{4}

x = \frac{1}{4}

Verify Solutions:

x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

x = 6 + x

- x - 1 = x + 1

- u + 58 = u - 2

x^{2} x^{\frac{2}{3}} = 256

x + 3 = 2 - 3 x + 2