What is the answer to (100-x^2)/x =2x ?

The answer to (100-x^2)/x =2x is x=(10)/(sqrt(3)),x=-(10)/(sqrt(3))

Solve for x: (100-x^2)/x =2x

The solution is x=(10)/(sqrt(3)),x=-(10)/(sqrt(3))

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\frac{100 - x ^{2}}{x} = 2 x

x = \frac{10}{3}, x = - \frac{10}{3}

Decimal Notation

x = 5.77350 \dots, x = - 5.77350 \dots

Solution steps

\frac{100 - x ^{2}}{x} = 2 x

Multiply both sides by

x

100 - x^{2} = 2 x^{2}

Solve

100 - x^{2} = 2 x^{2} : x = \frac{10}{3}, x = - \frac{10}{3}

x = \frac{10}{3}, x = - \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{10}{3}, x = - \frac{10}{3}

\frac{1}{x} = 0.15

F = \frac{m v ^{2}}{r}, r

\frac{12}{n} = \frac{2}{12}

1 - x = \frac{2.47 x}{1 + ( 1.47 x )}

\frac{370}{x + 6} = 3.8 + 0.2 x

What is the answer to (100-x^2)/x =2x ?
The answer to (100-x^2)/x =2x is x=(10)/(sqrt(3)),x=-(10)/(sqrt(3))
Solve for x: (100-x^2)/x =2x
The solution is x=(10)/(sqrt(3)),x=-(10)/(sqrt(3))