What is the answer to 16/9 =(A^2-9)/(A^2-16) ?

The answer to 16/9 =(A^2-9)/(A^2-16) is A=5,A=-5

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16/9 =(A^2-9)/(A^2-16)

\frac{16}{9} = \frac{A ^{2} - 9}{A ^{2} - 16}

A = 5, A = - 5

Solution steps

\frac{16}{9} = \frac{A ^{2} - 9}{A ^{2} - 16}

Cross multiply

16 (A^{2} - 16) = 9 (A^{2} - 9)

Solve

16 (A^{2} - 16) = 9 (A^{2} - 9) : A = 5, A = - 5

A = 5, A = - 5

Verify Solutions

Find undefined (singularity) points:

A = 4, A = - 4

Combine undefined points with solutions:

A = 5, A = - 5

\frac{12}{7} = \frac{60}{x}

x, \frac{2}{5} = \frac{16}{x}

\frac{8}{x} = x + 2

\frac{1}{3} + \frac{1}{4} = \frac{1}{x}

0.015 = 0.016 \times \frac{0.6}{x}

What is the answer to 16/9 =(A^2-9)/(A^2-16) ?
The answer to 16/9 =(A^2-9)/(A^2-16) is A=5,A=-5
Solve for A: 16/9 =(A^2-9)/(A^2-16)
The solution is A=5,A=-5