# Solve for v v^2=-100 v2=-100
Take the square root of both sides of the equation to eliminate the exponent on the left side.
v=±-100
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite -100 as -1(100).
v=±-1⋅100
Rewrite -1(100) as -1⋅100.
v=±-1⋅100
Rewrite -1 as i.
v=±i⋅100
Rewrite 100 as 102.
v=±i⋅102
Pull terms out from under the radical, assuming positive real numbers.
v=±i⋅10
Move 10 to the left of i.
v=±10i
v=±10i
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.
v=10i
Next, use the negative value of the ± to find the second solution.
v=-10i
The complete solution is the result of both the positive and negative portions of the solution.
v=10i,-10i
v=10i,-10i
v=10i,-10i
Solve for v v^2=-100

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