t2=125

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

t=±125

Simplify the right side of the equation.

Rewrite 125 as 52⋅5.

Factor 25 out of 125.

t=±25(5)

Rewrite 25 as 52.

t=±52⋅5

t=±52⋅5

Pull terms out from under the radical.

t=±55

t=±55

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=55

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

t=-55

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

t=55,-55

t=55,-55

t=55,-55

The result can be shown in multiple forms.

Exact Form:

t=55,-55

Decimal Form:

t=11.18033988…,-11.18033988…

Solve for t t^2=125