Quadratics -Factor, Square Roots, and Complete the Square

Solve by factoring.
(7n - 4)(n - 5) = 0

• 7 and 1/8
• 7 and 5/2
• -4/7 and -5
• 4/7 and 5

Tags

CCSS.HSA-REI.B.4B

Solve by factoring.
8n² = -16n

• 4 and -4
• -3
• 4 and -7
• -2 and 0

Tags

CCSS.HSA-REI.B.4B

Solve by factoring.
3n² - 28n + 49 = 0

• 5/7 and 5/2
• 3/5 and -6
• 7/3 and 7
• 6/5 and -8

Solve by factoring.
30x² + 114x + 72 = 0

• -5/3 and 7/5
• 5/3 and 3
• -4/5 and -3
• -5/7 and -8

Write a quadratic equation given the zeros.
-2 and 9

• y = x² - 7x - 18
• y = x² + 7x - 18
• y = x² - 11x - 18
• y = x² + 11x - 18

Write a quadratic equation given the zeros.
-1/2 and 4/5

• y = 4x² - 3x - 10
• y = 4x² + 3x - 10
• y = 10x² + 3x - 4
• y = 10x² - 3x - 4

Solve by taking square roots.
9p² = 414

• 46 and -46
• √46
• √46 and - √46
• (√414)/3 and - (√414)/3

Solve by taking square roots.
-5 - 10n² = -665

• 66 and -66
• √66 and - √66
• √66
• No solution.

Solve by completing the square.
n² + 16n - 18 = 0

• -6 + 3√7 and -6 - 3√7
• -10 + √127 and -10 - √127
• -3 and -9
• -8 + √82 and -8 - √82

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
2n² - 24n - 54 = 18

• 10 + 3√21 and 10 - 3√21
• -4 + √86 and -4 - √86
• 6 + 6√2 and 6 - 6√2
• 5 + √114 and 5 - √114