Solving Quadratic Equations with Rational Solutions

If x = -1 and x = 5 are two solutions to a quadratic equation, then what could the equation be?

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CCSS.HSA-REI.B.4B

• Yes, Mary's work is correct because she solved the equations correctly

• Yes, Mary's work is correct because she applied the Zero Product Property correctly

• No, Mary's work is not correct because she didn't solve the equations correctly

• No, Mary's work is not correct because she misapplied the Zero Product Property

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CCSS.HSA-REI.B.4B

The quadratic shown is going to be solved by completing the square, the first step is shown Problem: x² + 6x = 5 Step 1: x² + 6x + ​ (a)   = ​ (b)   What are the missing values?

• 9

• 14

• 6

• 5

• -6

• -9

• 3

• 8

• 12

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CCSS.HSA-REI.B.4B

What are the steps to solving this by completing the square?

• Subtract 21 from both sides of the equation

• Rewrite the left hand side as a (binomial)²

• Subtract 5 from both sides of the equation

• Add 25 to both sides of the equation

• Take the square root of both sides of the equation

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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

Complete the quadratic formula

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CCSS.HSA-REI.B.4B

Mathematical Equivalence

ON

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CCSS.HSA-REI.B.4B

How would you solve this quadratic equation?

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CCSS.HSA-REI.B.4B

• A
• B
• C
• D

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CCSS.HSA-REI.B.4B

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

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CCSS.HSA-REI.B.4B