Solving Quadratic Equations with Real Solutions

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CCSS.HSA-REI.B.4B

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CCSS.HSA-REI.B.4B

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CCSS.HSA-REI.B.4B

The discriminant is

• aX²  + bX  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

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CCSS.HSA-REI.B.4B

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

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CCSS.HSA-REI.B.4B

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

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CCSS.HSA-REI.B.4B

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CCSS.HSA-REI.B.4B

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CCSS.HSA-REI.B.4B

A function has a discriminant of 25.
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How many solutions does it have?

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• 5

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CCSS.HSA-REI.B.4B