Factoring
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
{1, 5}
What value of "c" makes this a perfect square?
x^2 -18x + c
c = 81
What is the quadratic formula?
x = -b +- sqrt(b2 - 4ac) /(2a)
What are three ways you can solve for the x-intercepts?
Completing the Square
Zero Product Property (factoring)
Quadratic Formula
Graphing
Solve the following quadratic equation by factoring:
x2 - 4 = 0
{-2, 2}
Solve the following quadratic equation by completing the square: x2 + 6x = -8
{-4, -2}
Solve the following quadratic equation by using the quadratic formula: x2 + 6x + 5 = 0
x = -1, x = -5
Solve the following quadratic equation:
5n2 + 41n - 12 = -4 + 2n
{1/5, -8}
Solve the following quadratic equation by factoring:
9x2 - 81x = 0
{0, 9}
Solve the following quadratic equation by completing the square: x2 - 6x = -5
{1, 5}
Solve the following quadratic equation by using the quadratic formula.
x^2 -9x + 12=0
x=\frac{9 \pm \sqrt33}{2}
Spiderman is testing one of his web-shooting turrets. He throws a ball from an initial height of 44 inches. The amount of time in seconds (t) in relation to the ball's height (h) is represented by the equation. h = -6t^2+24t+44 . Find the time where the ball get's caught at 22 inches.
t = 5.352 seconds
Solve the following quadratic equation by factoring.
3n2 - 25n + 28=0
{4/3, 7}
Solve the following quadratic equation by completing the square: x2 - 2x -24 = 0
{-4, 6}
Solve the following quadratic equation by using the quadratic formula:
2x^2 +9x +11 = 0
x = \frac{-9 \pm i\sqrt{7}}{4}
Solve the following quadratic equation:
-2m2 - 60m +72 = -8m2 - 3m
{3/2, 8}
Solve the following quadratic equation by factoring.
9x2 + 10x - 30= 7x
{5/3, -2}
Solve the following quadratic equation by completing the square (nearest tenth):
x^2 +7x +22 = -x
x = -4 \pm i\sqrt{6}
Solve the following quadratic equation by using the quadratic formula (nearest tenth):
4x2 - 17x =-12
{0.9, 3.4}
You and a friend are hiking in the mountains. You want to climb to a ledge and the height of the grappling hook you throw is given by the function h=-16t2 +38t +25. How many seconds will it take for the hook to reach a cliff with a height of 20 ft?
the times would be t = -0.125, t = 2.5s