Factoring
Solve the following quadratic equation.
(x - 7)(x + 2) = 0
x = 7 x = -2
How do you calculate the discriminant of a quadratic equation?
b2 - 4ac
What is the quadratic formula?
x= +-b √( b² - 4ac) /2a
Identify a, b and c in the following equation:
x2 + 6x + 5 = 0
a = 1; b = 6; c = 5
Solve the following quadratic equation by factoring. x2+3x+2 = 0
x = -2 x = -1
What does the value of the discriminant tell you about the number of solutions to a quadratic equation?
+, two solutions
-, no solutions
0, 1 solution
When solving a quadratic equation, what does it mean if the discriminant is negative?
The equation has no real solution
Solve the equation x2 - 4 = 0
x = 2 and x = -2
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
x = 5 x = 1
Solve the following quadratic equation by completing the square: x2 + 6x +8 = 0 .
x=-2 or x=4
Identify a, b and c in the following equation:
x2 - 9x + 20 = 9
a = 1; b = -9; c = 11
Find the best method for solving the quadratic equation below:
5x2+2x-2 = 0
Quadratic Formula
Solve the following quadratic equation.
x2 - 6x - 27 = 0
x = 9 x = -3
Why is the quadratic formula useful for solving quadratic equations?
We can ALWAYS use the quadratic formula, but we cannot always factor.
Solve the following quadratic equation by using the quadratic formula: 2x2 + 10x = x - 4
x = -1/2 x = -4
Find the best method for solving the quadratic equation below:
x2-8x+16 = 9
Completing the square
Solve the following quadratic equation by factoring .
2x2 - 5x - 3 = 0
x = -1/2 x = 3
what would be the values of a, b, and c If I wanted to use the quadratic formula to solve this equation:
0 = 2(x - 3)2 + 5
2x2-12x+23
a=2,b=-12,c=23
Solve the system of equations
2x - 8 = 2y
y=x^2 + 3x - 4
(0, -4)
(-2, -6)
Compete the square to solve:
x^2 +6x - 11= 16
x = 3 and x = -9