# Solve for r r^2=-90

r2=-90
Take the square root of both sides of the equation to eliminate the exponent on the left side.
r=±-90
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite -90 as -1(90).
r=±-1⋅90
Rewrite -1(90) as -1⋅90.
r=±-1⋅90
Rewrite -1 as i.
r=±i⋅90
Rewrite 90 as 32⋅10.
Factor 9 out of 90.
r=±i⋅9(10)
Rewrite 9 as 32.
r=±i⋅32⋅10
r=±i⋅32⋅10
Pull terms out from under the radical.
r=±i⋅(310)
Move 3 to the left of i.
r=±3i10
r=±3i10
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.
r=3i10
Next, use the negative value of the ± to find the second solution.
r=-3i10
The complete solution is the result of both the positive and negative portions of the solution.
r=3i10,-3i10
r=3i10,-3i10
r=3i10,-3i10
Solve for r r^2=-90

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