Back to 2.5 Quadratic Equations

Using the Discriminant to Find the Nature of the Solutions to a Quadratic Equation

Avg difficulty 2.5

Use the discriminant to find the nature of the solutions to the following quadratic equations:

ⓐ $x^{2} + 4 x + 4 = 0$
ⓑ $8 x^{2} + 14 x + 3 = 0$
ⓒ $3 x^{2} - 5 x - 2 = 0$
ⓓ $3 x^{2} - 10 x + 15 = 0$

OpenStax Algebra and Trigonometry 2e, 2.5 Quadratic Equations, exercise 32

AI Tutor

Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.