Solving Radical and Quadratic Equations

Solve by completing the square

• -4, 2

• -2, 4

• -16

• -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}

Solve the following equation by completing the square:
n² = 18n + 40

• {11 and -11}
• {16 and 2}
• {20 and -2}
• {10 and -4}

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.

• ±1.5

• 1.5

• ±1

• No real solution

Solve using the Quadratic Formula: 7m² - 12m + 5 = 0

• x = 5/7 and x = 1

• x = 8/3 and x = 2

• x = 8/3 and x = -1/2

• x = -2/3 and x = -5

Solve using the Quadratic Formula:

8n² + 10n - 3 = 0

• n = ^-1/₈, ¹⁰/₃

• n = ⁴/₅, - 2

• n = ¹/₄, ^-3/₂

• n = 2, -12

Solve using the Quadratic Formula: 0.25x² – 7x – 15 = 0

• {4, 30}

• {3, 15}

• {–5, 3}

• {–2, 30}

Solve the equation using the quadratic formula.

x² + 7x = x - 10

• -6/2 + √4

• -6/2 - √4

• no solution

• ∅

Solve and check your solution(s).

• x = -2
• x = -2, 3
• x = -2, -3
• x = -3

Solve and check your solution(s).

• x = 2, 3
• x = -2, -3
• x = -1, -6
• No solution