What is the answer to 1/(q^2)=9 ?

The answer to 1/(q^2)=9 is q= 1/3 ,q=-1/3

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1/(q^2)=9

\frac{1}{q ^{2}} = 9

q = \frac{1}{3}, q = - \frac{1}{3}

Decimal Notation

q = 0.33333 \dots, q = - 0.33333 \dots

Solution steps

\frac{1}{q ^{2}} = 9

Multiply both sides by

q^{2}

1 = 9 q^{2}

Solve

1 = 9 q^{2} : q = \frac{1}{3}, q = - \frac{1}{3}

q = \frac{1}{3}, q = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

q = 0

Combine undefined points with solutions:

q = \frac{1}{3}, q = - \frac{1}{3}

(\frac{x + 1}{x})^{2} = 2 (\frac{x + 1}{x}) + 3

\frac{( x - \frac{1}{3} ) ^{2} + 2}{3 \cdot x} = \frac{10}{9}

\frac{( x ^{2} - 6 )}{x} - \frac{( 3 x )}{( x ^{2} - 6 )} = - 2

\frac{( 3 x + 7 )}{( x + 2 ) + x} = \frac{1}{( x + 2 ) + 8}

\frac{( x + 1 )}{3} = \frac{21}{2 + 2 x - 1}