What is the answer to 4x-4sqrt(x)-3=0 ?

The answer to 4x-4sqrt(x)-3=0 is x= 9/4

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4x-4sqrt(x)-3=0

4 x - 4 x - 3 = 0

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

4 x - 4 x - 3 = 0

Remove square roots

16 x = 16 x^{2} - 24 x + 9

Solve

16 x = 16 x^{2} - 24 x + 9 : x = \frac{9}{4}, x = \frac{1}{4}

x = \frac{9}{4}, x = \frac{1}{4}

Verify Solutions:

x = \frac{9}{4}

True

, x = \frac{1}{4}

False

The solution is

x = \frac{9}{4}

3 x + 7 - 1 = x

x^{2} - 3 x + 3 = x - 1

x + 2 x - 4 = 2

x + 4 - 2 x + 12 = 0

G (x) = x + 1