Factoring Quadratics
x2 + 8x+ 15 = 0
x = -5 and x = -3
Solve the following quadratic using the square root method.
3x2 = 192
x = +-8
What is the formula we use to complete the square?
(b/2)2
Find the value of the discriminant for the following quadratic.
4x2 +2x +5
-76
Find the product of the two binomials.
(2x - 3)(7x + 4)
14x2 - 13x - 12
Solve the following quadratic by factoring.
x2 - 121 = 0
x = -11 and x = 11
Solve the following quadratic using the square root method.
4x2 + 1 = 577
x = +-12
Solve the following quadratic by completing the square.
x2 + 4x - 6 = 0
x = -2 +- √10
How many real solutions does the following quadratic equation have based on the value of the discriminate?
4x2 12x + 9 = 0
One Real Solution
Parabola
Solve the following quadratic by factoring.
3x2 -2x - 21 = 0
x = -7/3 and x = 3
Solve the following quadratic using the square root method. (Write your answer in simplest radical form)
-6x2 - 13 = -445
x = +- 6√2
Solve the following quadratic equation by completing the square.
x2 - 8x - 4 = 0
x = 4 +- 2√5
Use the Quadratic Formula to find the solutions to the following quadratic equation.
x2 - 3x - 3 = 0
x = 3/2 +- √21/ 2
The number i is defined to be equal to?
√-1
Solve the following quadratic by factoring.
4x2 - 32x = 0
x = 0 and x = 8
Solve the following quadratic using the square root method. (Write your answer in simplest radical form)
4(x - 3)2 - 7 = 345
x = 3+- 2√22
Solve the following quadratic equation by completing the square.
x2 -12x + 8 = 0
x = 6 +-2 √7
Use the Quadratic Formula to find the solutions to the following quadratic equation.
2x2 + 18x + 39 = 0
x = -9/2 +- √3/2
A box falls from a warehouse shelf from a height of 16ft. The function h = -16t2 + 16 gives the height h (in feet) after t seconds.
When does the box hit the floor?
When t = 1 or at 1 second
Solve the following quadratic by factoring.
12x2 - x - 35 = 0
x = 7/4 and x = -5/3
Solve the following quadratic using the square root method. (Write your answer in simplest radical form)
2/3(x + 4)2 - 9 = 79
x = -4 +- 2√33
Solve the following quadratic equations by completing the square.
3x2 - 18x - 12 = 0
x = 3 +- √13
Use the Quadratic Formula to find the solutions to the following quadratic equation.
5x2 + 3x + 1 = 0
x = -3/10 +- i √11/10
Using the velocity function: h = -16t2 + v0t + h0
If a dirt bike is launched off a ramp with an initial height of 8 feet and an initial velocity of 20 ft/sec.
When does the dirt bike land back on the ground?
Approximately 1.6 seconds