v2=-100

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

v=±-100

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