
4.7 - The Quadratic Formula
Presentation
•
Mathematics
•
12th Grade
•
Practice Problem
•
Easy
Standards-aligned
Steve Dull
Used 10+ times
FREE Resource
12 Slides • 5 Questions
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2
To solve quadratic equations using the quadratic formula
To determine the number of solutions by using the discriminant
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What if we can't square root or factor?
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The quadratic formula actually will solve any quadratic equation, no matter how simple or challenging. But it is particularly useful when our equation cannot be factored or has complex number solutions.
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Open Ended
Your turn. Solve 6x2−11x−10=0 using the quadratic formula.
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When we learned to solve quadratics by factoring, we learned that quadratic equations have two solutions. It turns out that by evaluating one expression within the quadratic formula we can classify those solutions.
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Multiple Choice
Determine the value of the discriminant
x2 + 7x + 13=0
101
3
-101
-3
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Multiple Choice
Describe the number and type solutions for the following:
x2 + 7x + 13
2 real solutions
2 non-real solutions
1 real solution
1 non-real solution
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Match
Match the graph with the value of its discriminant
b2−4ac <0
b2−4ac =0
b2−4ac >0
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Poll
Select the image that most closely describes how you feel about your ability to solve quadratic equations using the quadratic formula:
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Try at least two more items on the notes page before the end of class
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