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

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Warm-Up: Review What You Know

For the quadratic $ax^2 + bx + c = 0$ , the discriminant is $b^2 - 4ac$ . If the discriminant is negative, which statement is correct?

The equation has two distinct real solutions.

The equation has no solutions at all.

The equation has two complex (non-real) solutions.

The equation has one repeated real solution.