Lesson

2.1 QUADRATICS




After completing this section, you should be able to:

  • solve a quadratic equation by factorisation: \( (x-1)(x-2)=0 \require{AMSsymbols} \leadsto x=1,2 \)
  • solve a quadratic equation by completing the square: \( (x-3)^2=4 \require{AMSsymbols} \leadsto x = 3-2,3+2 \)
  • solve a quadratic equation by using th equadratic formula: \( x = \displaystyle \dfrac{-b \pm \sqrt{b^2-4ac}}{2a} \)
  • determine the most appropriate method that should be used to solve a quadratic equation
  • determine the number of solutions uding discriminant: \( \bigtriangleup = b^2 – 4ac \)
  • solve a practical problems that involve quadratic equations