z2+200=0

Subtract 200 from both sides of the equation.

z2=-200

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

z=±-200

Simplify the right side of the equation.

Rewrite -200 as -1(200).

z=±-1⋅200

Rewrite -1(200) as -1⋅200.

z=±-1⋅200

Rewrite -1 as i.

z=±i⋅200

Rewrite 200 as 102⋅2.

Factor 100 out of 200.

z=±i⋅100(2)

Rewrite 100 as 102.

z=±i⋅102⋅2

z=±i⋅102⋅2

Pull terms out from under the radical.

z=±i⋅(102)

Move 10 to the left of i.

z=±10i2

z=±10i2

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.

z=10i2

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

z=-10i2

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

z=10i2,-10i2

z=10i2,-10i2

z=10i2,-10i2

Solve for z z^2+200=0