The Quadratic Formula: What Does The Formula Do?

The Quadratic Formula: What Does The Formula Do?
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The quadratic formula is a mathematical tool that enables one to find the roots of a quadratic equation, even if the equation does not factor. The formula can be applied to any quadratic

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Slide110-7The Quadratic Formula

Slide2What DoesThe 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 : ax 2  + bx + c = 0 The roots of the quadratic equation are  given by :

Slide3Example 1Use the quadratic formula to solve the equation : x  2  + 5x + 6= 0 Solution: x  2  + 5x + 6= 0 a = 1   b = 5   c = 6 x = - 2  or x = - 3 These are the roots of the equation.

Slide4Example 2Use the quadratic formula to solve the equation : 8x  2  + 2x - 3= 0 Solution: 8x  2  + 2x - 3= 0 a = 8   b = 2   c = -3 x = ½   or   x = - ¾ These are the roots of the equation.

Slide5Example 3Use the quadratic formula to solve the equation : 8x  2  - 22x + 15= 0 Solution: 8x  2  - 22x + 15= 0 a = 8   b = -22   c = 15 x =  3/2  or   x = 5/4 These are the roots of the equation.

Slide6Example 4Use the quadratic formula to solve for x  to 2 d.p  : 2x  2  +3x - 7= 0 Solution: 2x  2  + 3x – 7 = 0 a = 2   b = 3   c = - 7 x = 1.27  or   x = - 2.77 These are the roots of the equation.