What is the answer to 100=2000\times x^{-2} ?

The answer to 100=2000\times x^{-2} is x=2sqrt(5),x=-2sqrt(5)

Solve for x: 100=2000\times x^{-2}

The solution is x=2sqrt(5),x=-2sqrt(5)

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100 = 2000 \cdot x^{- 2}

x = 25, x = - 25

Decimal Notation

x = 4.47213 \dots, x = - 4.47213 \dots

Solution steps

100 = 2000 x^{- 2}

Refine

100 = \frac{2000}{x ^{2}}

Multiply both sides by

x^{2}

100 x^{2} = 2000

Solve

100 x^{2} = 2000 : x = 25, x = - 25

x = 25, x = - 25

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 25, x = - 25

x + \frac{20}{x - 4} = \frac{5 x}{x - 4} - 2

2 - \frac{5}{x + 4} = x

- \frac{2}{x ^{2}} + \frac{2}{x ^{3}} = 0

\frac{10}{x} = 7 - x

x - \frac{x + 7}{x - 10} = \frac{5}{x - 10}

What is the answer to 100=2000\times x^{-2} ?
The answer to 100=2000\times x^{-2} is x=2sqrt(5),x=-2sqrt(5)
Solve for x: 100=2000\times x^{-2}
The solution is x=2sqrt(5),x=-2sqrt(5)