What is the answer to sqrt(x)= 1/4 x ?

The answer to sqrt(x)= 1/4 x is x=16,x=0

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sqrt(x)= 1/4 x

x = \frac{1}{4} x

x = 16, x = 0

Solution steps

x = \frac{1}{4} x

Multiply both sides by

4

x \cdot 4 = \frac{1}{4} x \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

1 + x = 1 + x^{2}

2 x - 5 - 3 = 3

2 x - 1 = 4 - x

w^{2} - 20 - 2 = 2