Quadratic Formula
2x2+8x+8
x=-2
x2=16
x=4 or x=-4
8x2-9x+1
49 two solutions
discriminant formula
b2-4ac
5x2-7x+3
No real solution
x2=361
x=19 or x=-19
8x2+5x+6
-167 no real solution
What does the discriminant do?
tells us how many solutions
6x2-x-7
x=7/6 and x=-1 or x=1.17 and x=-1
x2-5=20
x=5 or x=-5
3x2-2x+4
-44 no real solutions
What is the opposite of x2
square root
9x2-5x-5 (Round to nearest hundredth)
x=1.07 and x=-0.52
(x+3)2=36
x=3 or x=-9
x2+6x+9
0 one real solution
What is a quadratic equation?
no term has a variable with a higher power/exponent of 2
2x2-9x+2
x=4.27 and x=0.23
4x2=256
x=8 or x=-8
2x2+3x-1
17 two real solutions
Quadratic formula
x=(-b+-(sqrt(b2-4ac))/2a