Solve quadratics by quadratic formula

Standard form of a quadratic equation

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

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CCSS.HSA.CED.A.1

What is this formula?

• Pythagorean Formula
• Quadratic Formula
• Distance Formula
• Correlation Formula

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CCSS.HSA-REI.B.4B

Identify the 'a' value:
 y = 16x² - 8x - 24

• 16
• 8
• -8
• -24

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CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

Identify the 'b' value:
 y = 16x² - 8x - 24

• 16
• -8
• 8
• -24

Identify the 'c' value:
 y = 16x² - 8x - 24

• 16
• -8
• 24
• -24

Tags

CCSS.HSA.REI.B.4

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 mathematical process did they use?

• Differentiation
• Quadratic Formula
• Factoring
• Completing the Square

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CCSS.HSA-REI.B.4B

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 the equation equal 0 by subtracting 3 on each side
• Type it all in a calculator.

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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

If the discriminant is negative, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solutions

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CCSS.HSA-REI.B.4B