Theorems/Properties/Formulas
Solve by Definition
Completed but NOT Solved
THE DISCRIMINANT!!!
Grab Bag
100
a(b+c) = ab+ac
What is the distributive property of multiplication.
100
(x-1)²=3
What is x=1-√3 , 1+√3
100
x²-6x=0
What is (x-3)²=9
100
2x²+3x+1=0
What is A=2, B=3, C=1, and 2 real solutions.
100
3(x-9)²=-3
What is x=9+i, 9-i
200
If ab=0, then a or b or both must be 0.
What is the zero factor theorem.
200
(x+1)²-6=-6
What is x=-1
200
x²+4x-10=-6
What is (x+2)²=8
200
-4x²+8x-4=0
What is A=-1, B=2, C=-1, and one real solution.
200
3x²-2x-1=0
What is x=1, -1/3
300
If x^2=c, then x=-sqrt(c) and x=sqrt(c)
What is the square root property.
300
(x+4)²-4=10
What is x=-4+√14 , -4-√14
300
x²-x+.2=.9
What is (x-.5)²=.95
300
-3x²+7=-6x
What is A=-3, B=6, C=7, and 2 real solutions.
300
x²=8x-16
What is x=4
400
I am used to find the last term in a quadratic equation when completing the square.
What is (b/2)^2.
400
5(x-17)²+9=134
What is x=12, 22
400
3x²-6x-7=-2
What is 3(x-1)²=8
400
4x²-5x=-2
What is A=4, B=-5, C=2, and 2 imaginary solutions.
400
7y²-7y-2=0
What is x=(7+√105)/14, (7-√105)/14
500
I am known as the compound interest formula.
What is A=P(1+r/n)^nt
500
4(x+3)²-4=-9
What is x=-3+(√5)/2)i , -3-(√5)/2)i
500
34x²+136x-85=34
What is 2(x+2)²=15
500
4-9x=-6x²
What is A=6, B=-9, C=4, and 2 imaginary solutions.
500
x²=972
What is x=18√3, -18√3
M
e
n
u