What is the answer to 3x^{-2}= 4/27 ?

The answer to 3x^{-2}= 4/27 is x= 9/2 ,x=-9/2

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3x^{-2}= 4/27

3 x^{- 2} = \frac{4}{27}

x = \frac{9}{2}, x = - \frac{9}{2}

Decimal Notation

x = 4.5, x = - 4.5

Solution steps

3 x^{- 2} = \frac{4}{27}

Refine

\frac{3}{x ^{2}} = \frac{4}{27}

Cross multiply

81 = x^{2} \cdot 4

Solve

81 = x^{2} \cdot 4 : x = \frac{9}{2}, x = - \frac{9}{2}

x = \frac{9}{2}, x = - \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{2}, x = - \frac{9}{2}

\frac{1}{4 - 2 - \frac{1}{3} x} = 1 - x

0 = \frac{1}{( s + 1 )} + \frac{1}{( s + 3 )} + \frac{1}{( s + 5 )}

\frac{x}{2 - 1} = \frac{2}{3 x ^{2}}

1.4 = \frac{0 t + 1}{2 ( 10 ) t ^{2}}

\frac{51}{4 - y} = 3

What is the answer to 3x^{-2}= 4/27 ?
The answer to 3x^{-2}= 4/27 is x= 9/2 ,x=-9/2
Solve for x: 3x^{-2}= 4/27
The solution is x= 9/2 ,x=-9/2