What is the answer to b^{-2}= 1/4 ?

The answer to b^{-2}= 1/4 is b=2,b=-2

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b^{-2}= 1/4

b^{- 2} = \frac{1}{4}

b = 2, b = - 2

Solution steps

b^{- 2} = \frac{1}{4}

Refine

\frac{1}{b ^{2}} = \frac{1}{4}

Cross multiply

4 = b^{2}

Solve

4 = b^{2} : b = 2, b = - 2

b = 2, b = - 2

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = 2, b = - 2

\frac{3}{4 x - 5} = x

\frac{x}{3 x + 4} = 5

2 = \frac{2}{3} - \frac{7}{y}

y - \frac{1}{y} = \frac{3 y}{4}

a c = \frac{d}{r}