Example: 3x 2 + 9x + 6. Solving Quadratic Equations.

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Presentation transcript:

Example: 3x 2 + 9x + 6

Solving Quadratic Equations

Quadratic Equation: An equation with the highest power being x 2

To Solve a Quadratic Function: 1.If necessary, rewrite the equation so that it is equal to zero

To Solve a Quadratic Function: 1.If necessary, rewrite the equation so that it is equal to zero 2.Factor the expression

To Solve a Quadratic Function: 1.If necessary, rewrite the equation so that it is equal to zero 2.Factor the expression 3.Set each of the factors equal to zero separately

To Solve a Quadratic Function: 1.If necessary, rewrite the equation so that it is equal to zero 2.Factor the expression 3.Set each of the factors equal to zero separately 4.Solve the equations

To Solve a Quadratic Function: 1.If necessary, rewrite the equation so that it is equal to zero 2.Factor the expression 3.Set each of the factors equal to zero separately 4.Solve the equations 5.Check your solution

Example 1: x 2 + 5x + 4 = 0

Example 2: x 2 + 3x = 28

Example 3: x 2 = 6x – 8

Example 4: x 2 – 7x = 3 – 9x

Practice 1: x x + 24 = 0

Practice 2: x 2 + 9x = –18

Practice 3: x x = 5x – 10