Calculus – Quadratic Equations Practice Set · 3

Question:
Find all values of x satisfying x squared plus 4x plus 13 equals 0, expressing each root in the form a plus b i, where a and b are real numbers. Enter both roots separated by a comma.

Calculus – Quadratic Equations Practice Set · 3

This lesson solves a quadratic equation whose discriminant is negative, producing a conjugate pair of complex roots. Students learn to apply the quadratic formula, simplify square roots of negative numbers using the imaginary unit i, and express results in standard a + bi form.

In this lesson, you will learn to:
• Apply the quadratic formula to any quadratic equation and identify its coefficients
• Compute and interpret a negative discriminant as an indicator of complex (non-real) roots
• Simplify the square root of a negative number using the imaginary unit i
• Express complex roots in standard a + bi form and verify them by expanding the factore