Factoring
x2 - 1 = 0
{-1, 1}
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}
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 - 6x + 5 = 0
{1, 5}
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: x2 + 6x + 5 = 0
x = -1, x = -5
What is the discriminant?
b2-4ac
Solve the following quadratic equation by factoring.
n2 - 7n + 6=0
{6, 1}
Solve the following quadratic equation by factoring:
(k - 3)(5k + 1) = 0
{3, -1/5}
Solve the following quadratic equation by completing the square: x2 - 2x = 24
{-4, 6}
Solve the following quadratic equation by using the quadratic formula. Round your answer to the nearest hundredth: x2 - 9x + 6 = 0
{0.72, 8.27}
Name three topics on this week's test.
Solving quadratics by completing the square, Factoring quadratics, Solving quadratics using the quadratic formula, Imaginary numbers, Discriminants, Modeling with Quadratic functions
Solve the following quadratic equation by factoring.
b2 - 8b = 20
{10, -2}
Solve the following quadratic equation by factoring:
5n2 + 41n - 12 = -4 + 2n
{1/5, -8}
Solve the following quadratic equation by completing the square. Round your answers to the nearest hundredth: x2 + 10x +5 = 0
{-0.53, -9.47}
Solve the following quadratic equation by using the quadratic formula: 2x2 + 9x + 4 = 0
{-1/2, -4}
What is the standard form of a quadratic equation?
ax2 + bx + c = 0
Solve the following quadratic equation by factoring.
9x2 + 5x - 24= 8x2 + -5x
{-12, 2}
Solve the following quadratic equation by factoring:
-2m2 - 60m +72 = -8m2 - 3m
{3/2, 8}
Solve the following quadratic equation by completing the square (nearest tenth):
x2 - 8x + 13 = 0
x = 5.7, x = 2.3
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 that is 20ft above you. The height of the grappling hook you throw is given by the function h(t)=-16t2 +32t +5. What is the maximum height of the grappling hook? Can you throw it high enough to reach the ledge?
The max height of the grappling hook is 21ft. This is long enough to reach the 20ft ledge.