Solve using the Quadratic Formula
x2+4x+1=0
x=-2± sqrt(3)
What is standard form
ax2+bx+c
Solve using the Quadratic Function
x2+6x+13=0
x=-3± 2i
Solve for the discriminant: State the value of d, number of roots, and type of root:
x2-4x+4=0
d=0
1 root
rational
Solve for the discriminant: State the value of d, number of roots, and type of root:
x2-5x+6=0
d=1
# of roots: 2
type of roots: rational
Identify a, b, and c: 3x2-5x+9
a= 3
b= -5
c= 9
What is the formula for the discriminant?
b2-4ac
Solve for the discriminant: State the value of d, number of roots, and type of root:
6x2-x-2=0
d=49
2 roots
rational
What is b2=
-2x2-5x+20=0
25
Solve using the quadratic formula:
3x2-5x-2=0
x=-1/3, 2
What does -b equal? 9x2-14x+8
-b= 14
Solve using the quadratic formula
x2+2x-3=0
x=-3,1
How many roots does the discriminant of d=81 have? What is the type of root as well?
2 roots, rational
Solve using the quadratic formula
x2-6x+5=0
State the a, b, and c
12x2+14=-24x
a=12
b=24
c=14
What is the Quadratic Formula?
x=−b± sqrt(b2−4ac)/2a
What happens when your discriminant is positive and a perfect square
2 roots, rational
Solve using Quadratic formula
x2+4x+8=0
-2± 2i
Solve using the Quadratic formula:
4x2+2x-3=0
x= -1± sqrt(13)/4
Solve for the discriminant: State the value of d, number of roots, and type of root:
3x2-4x+2=0
d=-8
2 roots
Imaginary
What happens when the discriminant is positive and not a perfect square
2 roots, irrational
Solve using the quadratic formula
4x2+4x+1=0
x=-1/2
What happens if your discriminant is equal to zero
2 roots, rational
What happens if the discriminant is less than 0.
2 roots, imaginary
Solve using the Quadratic Formula
6x2-7x+2=0
x=1/2, 2/3