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Quadratic Formula
Word Problems
Graphing & Discriminant
Solve by Square Root
Solve by Factoring
100
2x^2+3x-14 = 0
{2, -7/2}
100
A rock is thrown in the air and follows the formula h(t)= -16t^2+100t+25. When does it reach its maximum height?
25/8
100
This graph looks like: 3x = 6-14x^2
Opens Up
100
x^2=64
{8, -8}
100
x^2+9x+22=4
{-3, -6}
200
2x^2 − 3x− 5= 0
{5/2, −1}
200
The path of a kicked football follows the path of -0.026x^2+1.196x. What is the maximum height of the football?
13.754
200
The graph -12x^2-15x-8 has a....
Max.
200
(x-7)^2=0
7
200
x^2-49=0
{7, -7}
300
x^2+8x=-7
{-7, 1}
300
A woodland mouse jumps along the trajectory of h(x) = -0.2x^2 +1.3x. What is the maximum height the mouse jumps?
2.11.25
300
How many and what kind of solutions: x^2-8x+15=8
2 REAL
300
3x^2=108
{6, -6}
300
2x^2+x-3=0
{-3/2, 1}
400
2x^2−36=x
{9/2,−4}
400
A ball thrown in the air follows h(t)=-16t^2+64t+190. When will the ball strike the ground?
5.98
400
How many and what kind of solutions: 4x^2-1=8x-5
1 REAL
400
8(x+3)^2=56
{-3+sqrt(7), -3-sqrt(7)}
400
4x^2-x-8=-5
{-3/4, 1}
500
12x^2-5x+2=0
{5+isqrt(71) / 24 , 5-isqrt(71) / 24}
500
A cannonball follows the projection h(t) = -16t^2+40t+1.5. When will the cannonball reach a height of 20 feet?
0.61 and 1.88
500
How many and what kind of solutions: -10x^2-9x=6
2 IMAGINARY
500
(x+2)^2=12
{-2+2sqrt(3), -2-2sqrt(3)}
500
5x^2-6x=-1
{1/5, 1}