Graphing
quadratic formula
factoring
completing the square
take the square root of each side
Newton's method
What are the methods to solving a quadratic equation?
200
4 and -1
What is x2-3x-4
200
b2-4ac = 0
What is one solution?
200
Has a y-intercept of -5
What is y = x2 - 5
200
(x+6)(x+6)=0
What is x2 +12x +36 = 0? Or What is x = -6?
200
Complete the square for ax2+bx+c=0
How do you show where the quadratic formula comes from?
300
6
What is x2-12x+36
300
b2-4ac <0
What is no solutions?
300
Shift to the left 7
What is y = (x+7)2
300
x(x-4)
What is x2-4x=0? or What is x = 0 and x= 4?
300
pop goes the wessel
What is the tune you sing the quadratic formula to, to get students engaged?
400
-5
What is x2+10x+25
400
one root of 2
What is x2+4x+4=0
400
the vertex is (7, -1)
What is y=x2-14x+48? or what is y=(x-7)2-1
400
x2=0
What is x = 0?
400
a polynomial equation of second degree
What is a quadratic equation?
500
-3i and 2i
What is x2+i+6
500
there are no real roots
What is x2+5=0?
500
The axis of symmetry is x = -4
What is y = (x+4)2
500
(x-1-4i)(x-1+4i)
What is x = 1+4i and x = 1-4i? or what is x2-2x+17?
500
a Simple way of explaining why this works is that in the quadratic equation you have (b2-4ac)^(1/2) and you cannot calculate the square root of a negative number
Why does a negative discriminant produce no real roots?