What is the answer to (z+9)/(z^2-81)=1 ?

The answer to (z+9)/(z^2-81)=1 is z=10

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(z+9)/(z^2-81)=1

\frac{z + 9}{z ^{2} - 81} = 1

z = 10

Solution steps

\frac{z + 9}{z ^{2} - 81} = 1

Simplify

\frac{z + 9}{z ^{2} - 81} : \frac{1}{z - 9}

\frac{1}{z - 9} = 1

Multiply both sides by

z - 9

1 = z - 9

Switch sides

z - 9 = 1

Move

9

to the right side

z = 10

Verify Solutions

Find undefined (singularity) points:

z = 9, z = - 9

Combine undefined points with solutions:

z = 10

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