Square Roots
√9
3
This is the standard form of a quadratic equation
ax2 + bx + c = y
10
15
2
3
When solving equations, the Quadratic Formula will _______ work.
always
A farmer has 17 sheep and all but 9 die. How many are left alive?
9
√-25
no solution
The number that represents the initial height is our __-value.
c
√40
2√10
Solve
x2 + 6x + 5 = 0
-1 and -5
A bottle rocket is shot off a balcony. The rocket's height is modeled by:
h(t) = -5t2 + 10t + 15.
The balcony is __ feet above the ground.
15
√144
12
Given 20x2 + 9x = -5,
our a, b, and c values are...
a = 20
b = 9
c = 5
2 ± √25
2
Our final answers are __ and __.
7/2 , -3/2
Solve
x2 - 9x + 20 = 0
4 and 5
A bottle rocket is shot off a balcony. The rocket's height is modeled by:
h(t) = -5t2 + 10t + 15.
After __ second(s), the rocket is at its maximum height.
1
Using the Square Root Method for
2x2 - 9 = -1,
x = __
±2
The vertex formula is...
-b / 2a
√[ (-2)2 - 4(1)(-3) ]
4
Solve
4x2 - 17x = 15
5 and -3/4
A bottle rocket is shot off a balcony. The rocket's height is modeled by:
h(t) = -5t2 + 10t + 15.
The rocket reached a maximum of __ feet.
20
Using the Square Root Method for
4x2 + 15 = -9,
x = __
no solution
The Quadratic Formula is...
x = -b ± √(b2 - 4ac)
2a
x = -(-2) ± √(-2)2 - 4(1)(-3)
2(1)
-1 and 3
Solve
x2 - 5x + 2 = 0
5 ± √17
2
A bottle rocket is shot off a balcony. The rocket's height is modeled by:
h(t) = -5t2 + 10t + 15.
The rocket was in the air for __ second(s).
3