Quadratic formula and the discriminant

D) never crosses the x-axis.

A quadratic equation with a negative discriminant has a graph that A) touches the x-axis but does not cross it. B) opens downward and crosses the x-axis twice. C) crosses the x-axis twice. D) never crosses the x-axis.

C) 2

How many real solutions does the equation 2p²+9p-7=0 have? A) 0 B) 1 C) 2 D) 3

B) 1

How many real solutions does the equation 4b²-4b=-1 have? A) 0 B) 1 C) 2 D) 3

A) 0

How many real solutions does the equation p²-5p+7=0 have? A) 0 B) 1 C) 2 D) 3

C

Solve 2x²-3x-4=0 using the quadratic formula.

A

Solve 3y²-1=y using the quadratic formula.

A) x=-3/2 or x=¼

Solve 8x²+10x-3=0 using the quadratic formula. A) x=-3/2 or x=¼ B) x=-¾ or x=-½ C) x=-6 or x=-4 D) x=-2 or x=14

B)

Solve k²+4k-7=0 using the quadratic formula.

D)

Solve k²-3=3k using the quadratic formula.

A) k=4-√22 or k=4+√22

Solve k²-8k-6=0 using the quadratic formula. A) k=4-√22 or k=4+√22 B) k=-4-√22 or k=-4+√22 C) k=4-2√22 or k=4+2√22 D) k=-4-2√22 or k=-4+2√22

A) x = -12 or x = 7

Solve x²+ 5x-84=0 using the quadratic formula. A) x = -12 or x = 7 B) x = 14 or x = -24 C) x = -7 or x = 12 D) x = 24 or x = -14

D

Solve x²+3x-9=0 using the quadratic formula.

B) x = 8 or x = -4

Solve x²-4x-32=0 using the quadratic formula. A) x = -8 or x = 4 B) x = 8 or x = -4 C) x = -6 or x = 6 D) x = 16 or x = -8

C) y = 1 or y = 8

Solve y²=9y-8 using the quadratic formula. A) y = -8 or y = -1 B) y = 9 or y = -1 C) y = 1 or y = 8 D) y = 16 or y = 2

C) 49

What is the value of the discriminant for the quadratic equation 2a²-9a+4=0 A) 7 B) 14 C) 49 D) 113

112

What is the value of the discriminant for the quadratic equation 3a²-8a-4=0?

-44

What is the value of the discriminant for the quadratic equation 4a²-2a+3=0?

D) a = -3, b = 7, c = -5

Which values of a, b, and c would be used in the quadratic formula to solve the equation -3x²+7x=5? A) a = -3, b = 7, c = 0 B) a = 3, b = 7, c = 5 C) a = -3, b = 7, c = 5 D) a = -3, b = 7, c = -5

A) a = -9, b = -2, c = 11

Which values of a, b, and c would be used in the quadratic formula to solve the equation -9x²+11=2x? A) a = -9, b = -2, c = 11 B) a = 9, b = 2, c = 11 C) a = -9, b = 11, c = 2 D) a = -9, b = 2, c = -11

C) a = 8, b = -3, c = 2

Which values of a, b, and c would be used in the quadratic formula to solve the equation 8x²-3x+2=0? A) a = 8, b = -3, c = 0 B) a = 8, b = 3, c = 2 C) a = 8, b = -3, c = 2 D) a = 8, b = -3, c = -2