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Quadratic Equations — Part 1: Standard form, factorisation and the formula

Beta
Lesson

Quadratic Equations, Part 1: Solving them

A quadratic equation asks: where does a parabola meet the xx-axis?

In this lesson you will

  • Decide whether an equation is quadratic and write it as ax² + bx + c = 0
  • Check whether a number is a root
  • Solve quadratic equations by splitting the middle term
  • Solve quadratic equations with the quadratic formula
  • Choose between factorisation and the formula
  • y=x2−x−6y = x^2 - x - 6
The roots of $x^2 - x - 6 = 0$ are where the graph meets the $x$-axis: $-2$ and $3$.