Factoring
x2 - 1 = 0
{-1, 1}
Solve the following quadratic equation by completing the square: x2 + 6x = -8
{-4, -2}
Solve the following quadratic equation x2 = 16
{-4, 4}
What is the quadratic formula?
x =( -b pm sqrt(b^2 - 4ac)) /(2a)
What is one way to find x intercepts on a graph??
Completing the Square
Zero Product Property (factoring)
Quadratic Formula
Graphing
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 : x2 = -16
{No solution}
Solve the following quadratic equation by using the quadratic formula: x2 + 6x + 5 = 0
x = -1, x = -5
What year was the quadratic formula invented (the one we use today)
1594
Solve the following quadratic equation by factoring.
n2 - 7n + 6=0
{6, 1}
Solve the following quadratic equation by completing the square: x2 - 2x = 24
{-4, 6}
Solve the following quadratic equation by completing the square: x2 - 2 = 23
{-5, 5}
Solve the following quadratic equation by using the quadratic formula. x2 - 9x + 6 = 0
(9 pm sqrt(57))/2
Name three ways to solve a quadratic equation.
Solving quadratics by completing the square, solving quadratics by graphing, factoring quadratics, solving quadratics using the quadratic formula or taking square roots
Solve the following quadratic equation by factoring.
b2 - 8b = 20
{10, -2}
Solve the following quadratic equation by completing the square: x2 + 10x +5 = 0
-5 +- 2(sqrt5)
Solve the following quadratic equation. x2 + 5 = 0
No Solutions
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 completing the square:
x2 - 8x + 13 = 0
4 +-sqrt 3
Solve the following quadratic equation:
2x2 -5 = 13
x = 3, x = -3
Solve the following quadratic equation by using the quadratic formula (nearest tenth):
4x2 - 17x =-12
x = (17 pm sqrt(97))/8
Which method will find a solution (if there is one) for any problem.
Quadratic formula