47 Solving Quadratics

Solve by completing the square.
x² + 4x= 12

• x = 2 and -2
• x = -6 and 2
• x = 6 and -2
• x = 1 and -1

ax²+bx+c=0  is the standard form of a quadratic equation.

• True
• False

Solve using the Quadratic Formula:

2x² + 2x − 12 = 0

• x = −2, 3

• x = 2, 3

• x = 2, −3

• x = −2, −3

Solve by factoring. (HINT: Factor GCF 1st)

• x = 3, x = -6

• x = 0, x = 2

• x = 2, x = 3

• x = -2, x = 1

Factor Completely: 
3x² + 18x +15

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Solve using the Quadratic Formula:

2x² − x − 3 = 0

Solve the equation by factoring:

x²-6x+8=0

• x = 2 or x = 4

• x = -2 or x = -4

• x = -2 or x = 4

• x = 2 or x = -4

• Factor

• Subtract 6 from both sides to set the equation equal to 0

• Set each factor equal to 0

• Combine like terms

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