Solving Inequalities
Solutions of Quadratics
Solving Quadratics using Square Roots
Solving by Factoring
Solving Equations with the Quadratic Formula
100

b/3 + 9 < 4

b<-15
100
What are square roots?
the two numbers that multiple together to that number
100
x2+2x+1
x+1, x+1
100
k2-64=0
8,-8
200
What are you solving for?
The variable
200
p-2=62
p=8,-8
200
3x2-75
x+5,x-5
200
5x2+7x-34=0
60.5,-74.5
300
How do you find the variable value?
Add/subtracting the lonely number for the number on the opposite side of the variable, then multiplying/dividing the number left by the number with the variable.
300
What's the equation to find the x-value of the vertex?
-b/2(a)
300
What must you do to find the square roots?
Divide both sides by a and take the square root of each side
300
(-4x-3)(-3x+5)
2x2-11x-15
300
What is the quadratic formula?
x=-b+-/b2-4(a)(c)/2(a)
400
88>3+5n
n<17
400
What's the equation for quadratics?
A2+b+c
400
4x2+1=-127
no solution
400
What does factoring do to an equation?
It breaks it down into two smaller linear equations then multiplies them together
400
2k2+3k-135=0
30,-36
500
-5n-6(n+7)=-97
n<5
500
4b2-2=1062
b=16.3, -16.3
500
What technique does Ms. Greener tell us to use to solve equations?
X
500
What variable is used multiple times in the quadratic equations
b
M
e
n
u