x2 - 1 = 0
x = 1, x = -1
Solve the following quadratic equation by factoring:
x = 2 x = -2
Solve for x:
x^2-59=5
x=8or x=-8
Solve the following quadratic equation by completing the square: x2 + 6x = -8
x = -2 , x = -4
What is the quadratic formula?
x = (-b ± √ (b2 - 4ac)) /2a
What are the 4 ways you can solve a quadratic equation?
Taking square roots
Completing the Square
Factoring
Quadratic Formula
Solve the following quadratic equation by factoring. x2+3x+2 = 0
x = -2, x = -1
Solve the following quadratic equation by factoring:
x^2-2x-3=-3
x=0 or x = 2
16x^2=25
x=5/4 or x=- 5/4
Solve the following quadratic equation by completing the square: x2 - 6x = -5
x = 1, x = 5
b^2-4ac
The discriminant
If your discriminant is negative, what does that mean?
You will have two, non-real roots.
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
x = 5, x = 1
Solve the following quadratic equation by factoring: 4x2 - 400 = 0
x = 10 , x = -10
Solve for x:
(x-1)^2-15=-14
x=2 or x=0
Solve the following quadratic equation by completing the square: 2x2 - 4x = 48
x = -4 x = 6
Solve the following quadratic equation by using the quadratic formula: x2 - 9x + 6 = 0
(9+-sqrt(57))/2
The most efficient way (of the four we learned) to solve this equation?
7x^2-13x+52=0
Quadratic Formula
Solve the following quadratic equation by factoring.
5x2 + 20x + 15= 0
x = -1 and x = -3
Solve the following quadratic equation by factoring:
10x^2 -15x = 27+4x^2 - 6x
x = 3 , x = - 3/2
Solve for x:
5(x+7)^2+10=25
x=-7+-sqrt(3)
Solve the following quadratic equation by completing the square.
x2 - 8x + 13 = 0
x = 4 ± √ 3
Solve the following quadratic equation by using the quadratic formula:
4x2 - 17x =-12
x=(17+-sqrt(97))/8
Solve the following equation using your choice of method:
12x^2+x+7=5x^2+5x
Two non-real solutions
Solve the following quadratic equation by factoring.
x2 - 3x -18 = 0
x = 6, x = - 3
Solve the following quadratic equation by factoring:
4x^2+19x=-15
x=-1
X=- 15/4
Solve for x:
2(x-3)^2+7=31
x=3+-2sqrt(3)
Solve the following quadratic equation by completing the square: x2 + 10x +5 = 0
x=-5+-2sqrt(5)
Solve the following quadratic equation by using the quadratic formula: 2x2 + 9x + 4 = 0
x=- 1/2 or x = -4
The discriminant of this equation:
-2x^2+3x-5=-4x^2+5x+2
60