What is the answer to x^{-2}=49 ?

The answer to x^{-2}=49 is x= 1/7 ,x=-1/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{-2}=49

x^{- 2} = 49

x = \frac{1}{7}, x = - \frac{1}{7}

Decimal Notation

x = 0.14285 \dots, x = - 0.14285 \dots

Solution steps

x^{- 2} = 49

Refine

\frac{1}{x ^{2}} = 49

Multiply both sides by

x^{2}

1 = 49 x^{2}

Solve

1 = 49 x^{2} : x = \frac{1}{7}, x = - \frac{1}{7}

x = \frac{1}{7}, x = - \frac{1}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{7}, x = - \frac{1}{7}

\frac{- 8}{y} + 2 y = - 6

2 + \frac{4}{x ^{3}} = 0

\frac{x}{100 - x} = 0.19526, x

x + 4 = \frac{5}{∣ x - 2 ∣}

x, 7 - t = \frac{c}{x}