SOLUTION: Can you help me find the x-intercepts?? y=x^2+6x+8 and y=x^2-2x+4 Thanks for your help! CH

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Can you help me find the x-intercepts?? y=x^2+6x+8 and y=x^2-2x+4 Thanks for your help! CH      Log On


   



Question 60788: Can you help me find the x-intercepts??
y=x^2+6x+8 and
y=x^2-2x+4
Thanks for your help!
CH

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Hi CH
find the x-intercepts??
y=x^2+6x+8 and
Let y=0 and solve for x.
0=x^2+6x+8 Factor
0=(x___)(x___) the blank gets filled with two numbers that multiply to get 8 and add to get 6. 2*4=8 and 2+4=6
0=(x+2)(x+4) Let each parentheses=0
x+2=0 and x+4=0
x=-2 and x=-4
The x-intercepts are (-2,0) and (-4,0)
:
y=x^2-2x+4
This has no x-intercepts. It's not factorable. If you're familiar with the discriminant:b%5E2-4ac, you can tell if a quadratic equation has no x-intercepts if the discriminant is negative.
%28-2%29%5E2-4%281%29%284%29=4-16=-12 There are no x-intercepts.
Happy Calculating!!!