SOLUTION: Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = 3x2 + 6x + 1

Algebra ->  Rational-functions -> SOLUTION: Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = 3x2 + 6x + 1       Log On


   

Question 736770: Find the x- and y-intercepts. If no x-intercepts exist, state so.
f(x) = 3x2 + 6x + 1
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 3x2 + 6x + 1

On X axis y=0
3x^2+6x+1=0
Find the roots of the equation by quadratic formula

a= 3 b= 6 c= 1

b^2-4ac= 36 - 12
b^2-4ac= 24 sqrt%28%0924%09%29= 4.9
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=( -6 + 4.9 )/ 6
x1= -0.18
x2=( -6 -4.9 ) / 6
x2= -1.82

Intersection at -0.18 and -1.82