1296=16t2

Rewrite the equation as 16t2=1296.

16t2=1296

Divide each term in 16t2=1296 by 16.

16t216=129616

Cancel the common factor of 16.

Cancel the common factor.

16t216=129616

Divide t2 by 1.

t2=129616

t2=129616

Divide 1296 by 16.

t2=81

t2=81

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

t=±81

Simplify the right side of the equation.

Rewrite 81 as 92.

t=±92

Pull terms out from under the radical, assuming positive real numbers.

t=±9

t=±9

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

First, use the positive value of the ± to find the first solution.

t=9

Next, use the negative value of the ± to find the second solution.

t=-9

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

t=9,-9

t=9,-9

t=9,-9

Solve Using the Square Root Property 1296=16t^2