Factoring
x2 - 1 = 0
{-1, 1}
Solve the following quadratic equation by factoring:
x2 - 4 = 0
{-2, 2}
Write an equation (set the equation equal to 0) by completing the square, then solve: x2 + 6x = -8
(x+3)2 -1 = 0
{-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
Factoring
Quadratic Formula
Graphing
Taking the Square Root
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: x2 - 9x + 6 = 0
(9 +- sqrt57)/2
Find the discriminant and tell what that means?
x2 + 3x = -8
-23, which mean no real solutions.
Solve the following quadratic equation by factoring.
2b2 - b = 7
{1/2, -7}
Solve the following quadratic equation by factoring:
5n2 + 41n - 12 = -4 + 2n
{1/5, -8}
Solve the following quadratic equation by completing the square: x2 + 10x +5 = 0
-5 +- 2(sqrt5)
Solve the following quadratic equation by using the quadratic formula: 2x2 + 9x + 4 = 0
{-1/2, -4}
The sum of the squares of two consecutive numbers is 452.
Write the equation, solve, and name the extraneous answer.
2x2 + 4x -448 = 0
14 and 16
-16
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:
x2 - 8x + 13 = 0
4 +-sqrt 3
Solve the following quadratic equation by using the quadratic formula:
4x2 - 17x =-12
(17 +- sqrt97)/2
The area of two rectangle are equal. The first rectangle has a length that is 1 more than 3 times the width. The second rectangle has a width that is twice the width of the first rectangle and a length that is 3 more than the width of the first rectangle.
Find the area of the rectangles.
80