Ways to solve a quadratic equation
Solve by graphing
Factor with AC
Solve using quadratic Formula
100
the next step after creating a table
What is graphing?
100
3x^2-9=-6
x=-1
x=1
100
25x^2-20x+4
(5x+50)(5x-2)
100
4x^2+20x+25
x=-2.5
200
What method is this?
Step 1: move the constant to the other side of the equation
Step 2: divide the coefficient of the x term by 2, and then square it
Step 3: add that to both sides of the equation
Step 4: rewrite the left side of the equation as a squared term
Step 5: square root both sides and isolate x
What is completing the square
200
2x^2-9=-1
x=-2
x=2
200
3x^2+4x-7
(3x+7)(x-1)
200
-3x^2-12x-13
x=-2
300
The Quadratic Formula
300
2x-3=-x^2
x=-3
x=1
300
-8x^2-32x+18
(4x-2)(-2x-9)
300
4x^2+16x+13
x=~-3
x=~-1
400
The AC Method
Step 1: (A*C)/2 = B
Step 2: replace A and C with B on both sides of the equation
Step 3: draw a line down the middle, and factor each side
Step 4: Simplify
400
7x+10=-x^2
x=-5
x=-2
400
2(2x^2+11x+15)
2(x+3)(2x+5)
400
4x^2-48x+147
x=~6
x=~-6