Solve for z z^2+200=0

Math
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
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps…
Simplify the right side of the equation.
Tap for more steps…
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.
Tap for more steps…
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.
Tap for more steps…
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

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

Solve all your Math Problems: https://elanyachtselection.com/

We can solve all your math problems
Scroll to top