2 What Does The Formula Do ? The Quadratic formula allows you to find the roots of a quadratic equation (if they exist) even if the quadratic equation does not factor.The formula states that for a quadratic equation of the form :ax2 + bx + c = 0The roots of the quadratic equation are given by :
3 Example 1Use the quadratic formula to solve the equation :x 2 + 5x + 6= 0Solution:x 2 + 5x + 6= 0a = 1 b = 5 c = 6x = - 2 or x = - 3These are the roots of the equation.
4 Example 2Use the quadratic formula to solve the equation :8x 2 + 2x - 3= 0Solution:8x 2 + 2x - 3= 0a = 8 b = 2 c = -3x = ½ or x = - ¾These are the roots of the equation.
5 Example 3Use the quadratic formula to solve the equation :8x x + 15= 0Solution:8x x + 15= 0a = 8 b = c = 15x = 3/2 or x = 5/4These are the roots of the equation.
6 Example 4Use the quadratic formula to solve for x to 2 d.p :2x 2 +3x - 7= 0Solution:2x 2 + 3x – 7 = 0a = 2 b = 3 c = - 7x = or x =These are the roots of the equation.
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