Solving Quadratic Equations

Solve by factoring:

n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0

The solutions of the quadratic equation 
x²+2x-15=0 are

• x = 3 or x = 5
• x = 5 or x = -3
• x = -5 or x = 3
• x = -3 or x = -5

Tags

CCSS.HSA-REI.B.4B

Solve by factoring.

• ±1.5

• 1.5

• ±1

• No real solution

Solve by taking the square root:  9k² = 225

• 4
• 4, -4
• 25, -25
• -5, 5

Tags

CCSS.HSA-REI.B.4B

Solve by taking square roots:
k² - 6 = 43

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

Solve the equation (x + 3)² = 49.

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41
• X= 35 or 47
• X = −6 + √41 or  −6 − √41
• X = √35 or √47

Solve by completing the square: x² + 4x - 14= 0 .

• 2 ± 3 √2

• 2 ± 2 √3

• -2 ± 3 √2

• -2 ± 3 √2

Solve by completing the square.

• -4, 2

• -2, 4

• -16

• -4

Solving the following by completing the square.

4x² – 8x = 3

• x = 2, x = 0

• x = ± √7/4 + 1

• x = ± √7 + 1

• x = ±√3/4 + 1