What is the answer to x/2 =sqrt(x) ?

The answer to x/2 =sqrt(x) is x=4,x=0

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x/2 =sqrt(x)

\frac{x}{2} = x

x = 4, x = 0

Solution steps

\frac{x}{2} = x

Multiply both sides by

2

\frac{x}{2} \cdot 2 = x \cdot 2

Simplify

x = x \cdot 2

Square both sides:

x^{2} = 4 x

x^{2} = 4 x

Solve

x^{2} = 4 x : x = 4, x = 0

x = 4, x = 0

Verify Solutions:

x = 4

True

, x = 0

True

The solutions are

x = 4, x = 0

x^{- 1} = 64 x

2.04 = 0.3761 x^{0.5592}

(x - 1)^{\frac{2}{3}} = 49

(x - 4)^{\frac{2}{3}} = 49