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7-5 SOLVING QUADRATIC EQUATIONS ALGEBRA 1 CP OBJECTIVE: SOLVE QUADRATIC EQUATIONS AND FIND IF A QUADRATIC EQUATION HAS TWO SOLUTIONS, ONE SOLUTION, OR.

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Presentation on theme: "7-5 SOLVING QUADRATIC EQUATIONS ALGEBRA 1 CP OBJECTIVE: SOLVE QUADRATIC EQUATIONS AND FIND IF A QUADRATIC EQUATION HAS TWO SOLUTIONS, ONE SOLUTION, OR."— Presentation transcript:

1 7-5 SOLVING QUADRATIC EQUATIONS ALGEBRA 1 CP OBJECTIVE: SOLVE QUADRATIC EQUATIONS AND FIND IF A QUADRATIC EQUATION HAS TWO SOLUTIONS, ONE SOLUTION, OR NO SOLUTIONS.

2 WORK WITH A PARTNER Find the x-intercepts of y = - x 2 – 2x + 3. What are the solutions of - x 2 – 2x + 3 = 0?

3 STANDARD FORM OF A QUADRATIC EQUATION A quadratic equation is an equation that can be written in standard form: ax 2 + bx + c = 0, where a ≠0 Ex: Write 6x 2 = 5x – 12 in standard form.

4 EXAMPLE 1 Solve 2x 2 – 98 = 0

5 EXAMPLE 2 Solve -2x 2 + 18 = 0

6 USING A CALCULATOR Solve each equation by graphing the related function. a. x 2 – 4 = 0b. x 2 = 0c. x 2 + 4 = 0

7 HOMEWORK Pg 340 # 2 – 18 even, 22 - 29


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