# Solve for t t^2=125 t2=125
Take the square root of both sides of the equation to eliminate the exponent on the left side.
t=±125
The complete solution is the result of both the positive and negative portions of the solution.
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…
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