Solve by Quadratic Formula

About this exercise

Solving a quadratic with the formula.

Example problems

A few of the problems this exercise asks. The printable worksheet holds ten fresh ones.

  1. Use the quadratic formula to solve: x² + 3x − 18 = 0
  2. Use the quadratic formula to solve: x² − 2x − 24 = 0
  3. Use the quadratic formula to solve: x² + 3x − 4 = 0
  4. Use the quadratic formula to solve: x² − 7x + 6 = 0

Try it yourself first — open a section below only if you get stuck.

How to solve it

Take minus b, plus or minus the square root of the discriminant, all over 2a.

Worked example

For x squared - 5x + 6, the roots come out as 3 and 2.

Common mistake

Dividing only part of the expression by 2a. The whole numerator is divided.