What is the answer to a^2-(-(12)/a)^2=32 ?

The answer to a^2-(-(12)/a)^2=32 is a=6,a=-6,a=2i,a=-2i

Solve for a: a^2-(-(12)/a)^2=32

The solution is a=6,a=-6,a=2i,a=-2i

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a^{2} - (- \frac{12}{a})^{2} = 32

a = 6, a = - 6, a = 2 i, a = - 2 i

Solution steps

a^{2} - (- \frac{12}{a})^{2} = 32

Simplify

- (- \frac{12}{a})^{2} : - \frac{144}{a ^{2}}

a^{2} - \frac{144}{a ^{2}} = 32

Multiply both sides by

a^{2}

a^{4} - 144 = 32 a^{2}

Solve

a^{4} - 144 = 32 a^{2} : a = 6, a = - 6, a = 2 i, a = - 2 i

a = 6, a = - 6, a = 2 i, a = - 2 i

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = 6, a = - 6, a = 2 i, a = - 2 i

\frac{18 x + 3}{5 x + 6} = \frac{1}{2}

4 x^{- 1} + \frac{3}{x + 1} = 0

14 - \frac{8}{b} = 17

(\frac{2 x + 1}{2 x}) = 10

0 = \frac{1}{x} + 3

What is the answer to a^2-(-(12)/a)^2=32 ?
The answer to a^2-(-(12)/a)^2=32 is a=6,a=-6,a=2i,a=-2i
Solve for a: a^2-(-(12)/a)^2=32
The solution is a=6,a=-6,a=2i,a=-2i