CCSS.Math.Content.HSA.REI.B.4

Determine the value of the discriminant and name the nature of the solution for the following:
x² + 8x - 84
Remember:  b² - 4ac

• 256 - 2 reals - Rational
• 400 - 2 reals - Rational
• √(-400) - 2 non-real complex - imaginary
• 20 - 2 reals - Rational

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CCSS.Math.Content.HSA.REI.B.4

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7
• -7
• -4
• -3

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CCSS.Math.Content.HSA.REI.B.4

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

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CCSS.Math.Content.HSA.REI.B.4

Solve by taking square roots:
k² - 6 = 43

• k = √37
• k = 37 or - 37
• k = 7, k = -7
• no solution

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CCSS.Math.Content.HSA.REI.B.4

Solve      3x² - 192 = 0

• -32 or 32
• No Solution
• -8 or 8
• -64 or 64

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CCSS.Math.Content.HSA.REI.B.4

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3
*remember right side should =0

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

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CCSS.Math.Content.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

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CCSS.Math.Content.HSA.REI.B.4

Solve for x: 
(x+6)²=49

• x=7,12
• x=±7
• x=1,-13
• x=43,-55

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CCSS.Math.Content.HSA.REI.B.4

QUESTION 5

• A
• B 
• C 
• D 

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CCSS.Math.Content.HSA.REI.B.4

How many roots does this parabola have? 

• 3
• 2
• 0
• 1

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CCSS.Math.Content.HSA.REI.B.4