Solve quadratics by inspection, square roots, completing the square, formula, and factoring; express complex solutions.
Use the discriminant to classify the solutions of a quadratic equation
Problem
Use the discriminant to determine the number and type of solutions for \(x^2-6x+9=0\).
Big Picture
What this problem is really about
The discriminant classifies the roots without requiring us to solve the entire quadratic. We’ll identify the signed coefficients, compute b squared minus four a c, and use whether that value is positive, zero, or negative to determine whether the formula’s two branches are distinct real roots, one repeated real root, or complex roots.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
