Exercises: Solve Quadratic Equations with Complex Solutions

Show all steps. Write complex solutions in $a + bi$ form. Include both solutions.

Grade 9·20 problems·~40 min·Common Core Math - HS Number and Quantity·standard·hsn-cn-c-7

Work through problems with immediate feedback

Fluency Practice

Compute the discriminant $b^2 - 4ac$ for $x^2 + 4x + 13 = 0$ . Which case applies?

Discriminant $= -36 < 0$ — two complex conjugate solutions

Discriminant $= 32 > 0$ — two distinct real solutions

Discriminant $= 0$ — one repeated real solution

Discriminant $= -48 < 0$ — no solutions