SOLUTION: Using the quadratic equation y = x2 - 6x + 8 = 0, perform the following tasks: a) Solve by factoring. Answer: Show work in this space. b) Solve by using the

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Using the quadratic equation y = x2 - 6x + 8 = 0, perform the following tasks: a) Solve by factoring. Answer: Show work in this space. b) Solve by using the       Log On


   

Question 55872: Using the quadratic equation y = x2 - 6x + 8 = 0, perform the following tasks:
a) Solve by factoring.
Answer:
Show work in this space.





b) Solve by using the quadratic formula.
Answer:
Show work in this space.

Thank you for the help tine
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Hi Tine,
Using the quadratic equation 0++=++x%5E2+-+6x+%2B+8, perform the following tasks:
a) Solve by factoring.
Answer:
Show work in this space.
(x____)(x____)=0
Two numbers that multiply to get c=+8, but add to get b=-6
-2*-4=+8 and -2+(-4)=-6
(x-2)(x-4)=0 Set each parenthesis = 0 and solve for x.
x-2=0 and x-4=0
x-2+2=0+2 and x-4+4=0+4
x=2 and x=4
b) Solve by using the quadratic formula.
Answer:
Show work in this space.
x%5E2-6x%2B8=0 is in standard form highlight%28ax%5E2%2Bbx%2Bc=0%29
a=1, b=-6, and c=8
The quadratic formula is:
highlight%28x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29%29
x=%28-%28-6%29%2B-sqrt%28%28-6%29%5E2-4%281%29%288%29%29%29%2F%282%281%29%29
x=%286%2B-sqrt%2836-32%29%29%2F2
x=%286%2B-sqrt%284%29%29%2F2
x=%286%2B2%29%2F2 and x=%286-2%29%2F2
x=8%2F2 and x=4%2F2
x=4 and x=2
Happy Calculating!!!