The Quadratic Formula' - PowerPoint PPT Presentation

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The Quadratic Formula'

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The formula states that for a quadratic equation of the form : ax2 ... Example 1. Use the quadratic formula to solve the equation : x 2 5x 6= 0. Solution: ... – PowerPoint PPT presentation

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Title: The Quadratic Formula'


1
The Quadratic Formula.
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
factorise.
The formula states that for a quadratic equation
of the form
ax2 bx c 0
The roots of the quadratic equation are given by

3
Example 1
Use 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.
4
Example 2
Use 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.
5
Example 3
Use 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.
6
Example 4
Use 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.
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