Discriminant
What is the discriminant and what does it tell you?
b2 - 4ac, # of solutions
x2 + 3x = 10
A: 1, B: 3, C: -10
Solve:
x2 + 7x + 10 = 0
x = -2 or x = -5
Solve:
5x2 + 7x + 3 = 0
No real solutions
What is Mr. Bohannon's son's name?
Cullen
Find the discriminant and # of real solutions:
x2 - 3x = 4
Disc = 25, 2 real solutions
-2x2 + 7 = 3x
A: -2, B: -3, C: 7
x2 + 2x = 35
x = -7 or x = 5
Solve:
2x2 - 8 = 6x
x = 4 or x = -1
How old is Mr. Bohannon?
32 years old
Find the discriminant and # of real solutions:
x2 + 4 = -4x
Disc = 0, 1 real solution
4x2 + 9x = 7x - 8
A: 4, B: 2, C: 8
Solve:
x2 + 30 = 11x
Solve:
3x2 + 13x = -12
x = -3 or x = -4/3
What high school did Mr. Bohannon go to?
Alma High School
Find the discriminant and # of real solutions:
3x2 - 5x = -5
Disc: -35, 0 real solutions
9x2 + 14x = x2 + 12
A: 8, B: 14, C: -12
Solve:
x2 + 6x - 3 = -12
x = -3
Solve:
13x2 - 12x = 10
x = 1.5 or x = -0.5
What is the name of the weird drink that Mr. Bohannon has all the time?
Kombucha
Find the discriminant and the number of real solutions:
x2 - 2x + 8 = 8
Disc: 4, 2 real solutions
3x2 + 13x - 8 = -x2 + 13x - 5
A: 4, B: 0, C: -3
Solve:
x2 + 6 = 5x
x = 3 or x = 2
A ball is shot from a cannon into the air with an upward velocity of 40 ft/sec. The equation that gives the height (h) of the ball at any time (t) is:
h(t)= -16t2 + 40t + 1.5
When will the ball reach a height of 20 feet?
t = 0.6, t = 1.9
What marathon did Mr. Bohannon set the course record at?
Grand Rapids Marathon