Write a quadratic equation with imaginary numbers practice

And 3 distributed on 3 plus i is equal to 9 plus 3i.

roots of quadratic equation

Not the principal square root, but one of the square roots of negative 1. So if I get rid of this, this is just 8 plus 6i.

Upon investigation, it was discovered that these square roots were called imaginary numbers and the roots were referred to as complex roots.

write a quadratic equation with imaginary numbers practice

The two complex solutions are 3i and —3i. This pattern of complex conjugates will occur in every set of complex roots that you will encounter when solving a quadratic equation.

It's going to get a little bit hairy, because we're going to have to square it and all the rest.

complex quadratic equation

The equation has two complex solutions.

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Quadratic Equations with Complex Solutions