What is the answer to x/8 =sqrt(3x) ?

The answer to x/8 =sqrt(3x) is x=192,x=0

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x/8 =sqrt(3x)

\frac{x}{8} = 3 x

x = 192, x = 0

Solution steps

\frac{x}{8} = 3 x

Multiply both sides by

8

\frac{x}{8} \cdot 8 = 3 x \cdot 8

Simplify

x = 3 x \cdot 8

Square both sides:

x^{2} = 192 x

x^{2} = 192 x

Solve

x^{2} = 192 x : x = 192, x = 0

x = 192, x = 0

Verify Solutions:

x = 192

True

, x = 0

True

The solutions are

x = 192, x = 0

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