Using factoring by difference of squares to solve the equation 4x^2-81=0.

Step-by-step explanation:

4

x

2

-

81

=

0

Add

81

to both sides of the equation.

4

x

2

=

81

Divide each term by

4

and simplify.

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x

2

=

81

4

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x

=

±

√

81

4

The complete solution is the result of both the positive and negative portions of the solution.

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x

=

9

2

,

-

9

2