What is the answer to sqrt(x)= x/4 ?

The answer to sqrt(x)= x/4 is x=16,x=0

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sqrt(x)= x/4

x = \frac{x}{4}

x = 16, x = 0

Solution steps

x = \frac{x}{4}

Multiply both sides by

4

x \cdot 4 = \frac{x}{4} \cdot 4

Simplify

x \cdot 4 = x

Square both sides:

16 x = x^{2}

16 x = x^{2}

Solve

16 x = x^{2} : x = 16, x = 0

x = 16, x = 0

Verify Solutions:

x = 16

True

, x = 0

True

The solutions are

x = 16, x = 0

7 x^{2} + 15 x - 2 x = 5 + x

3 + - 6 + 2 x = x

6 + 3 x - 8 = x

x + 2 + x - 1 = 3

x - 32 - 4 x = 0