Algebra II
Lesson 1 of 3 6 min +40 XP

Solving Quadratics

Factor or use the quadratic formula.

What you'll learn

  • Understand solving quadratics
  • Apply it to real examples
  • Check yourself with a quiz
The garden's dimensions

You know a rectangular garden's area and that its length is 3 more than its width — that's a quadratic. Solving it hands you the exact width, the way factoring unlocks two possible answers.

Two routes to the roots

If it factors, set each factor to zero. Otherwise use x = (−b ± √(b²−4ac))/2a. Both give where the parabola crosses zero.

Knowledge Check

+10 XP / correct

1. Solve x² − 5x + 6 = 0.

2. The quadratic formula's discriminant is…