SOLUTION: I need some help with this problem. i asked my friend to help me with a previous problem and he ended up just giving me the answer cause i still don't get it. The one already ans

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I need some help with this problem. i asked my friend to help me with a previous problem and he ended up just giving me the answer cause i still don't get it. The one already ans      Log On


   



Question 170747: I need some help with this problem.
i asked my friend to help me with a previous problem and he ended up just giving me the answer cause i still don't get it.
The one already answered ==
"":How i tried to work it out.
[]:my answer
1. +2x%5E2-10x%2B12=0+
"2(x+6)(x-1)"
[x=6,(-1)]
Was that correct?
2. +x%5E2%2B2x=-11+
?????
Please help me.

Found 2 solutions by Mathtut, MathTherapy:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
It is not real clear what you are asking but I have a feeling you were given a solution set of x =6 and -1 and were asked to form a quadratic equation from this solution set...So we must work backward remember a quadratic equation takes the form of Ax%5E2%2BBx%2BC=0 and when factored each factor is set to zero and the solution is found. In this case we are working backward
so....x=6...in order to make x term = to zero we must subtract 6 so x-6=0....now for x=-1 we must add 1......and get x+1=0 now these two terms can be multiplied together and set equal to zero
:
(x-6)(x+1)=0--->now multiply this out using foil
:
x%5E2%2Bx-6x-6=0 combine like terms
:
x%5E2-5x-6=0 is our quadratic equation
If this doesnt answer your question you will have to re write your question and make it more clear....
:

Answer by MathTherapy(10704) About Me  (Show Source):
You can put this solution on YOUR website!
I need some help with this problem.
i asked my friend to help me with a previous problem and he ended up just giving me the answer cause i still don't get it.
The one already answered == 
"":How i tried to work it out.
[]:my answer

1. +2x%5E2-10x%2B12=0+
"2(x+6)(x-1)"
[x=6,(-1)]
Was that correct?

2. +x%5E2%2B2x=-11+
?????

Please help me.
===============
For 1. 2x%5E2+-+10x+%2B+12+=+0, your factorization to get: "2(x+6)(x-1)" is WRONG!! Your solutions: [x=6,(-1)] are also WRONG! 
FOILing 2(x + 6)(x - 1), we get: 2%28x%5E2+%2B+5x+-+6%29 = 2x%5E2+%2B+10x+-+12, which doesn't correspond to the given trinomial, 2x%5E2+-+10x+%2B+12

The person who responded also has a different factorized form [(x-6)(x+1)=0--], but unfortunately, this is also WRONG! FOILing
(x - 6)(x + 1) = x%5E2+-+5x+-+6, which doesn't correspond with the reduced trinomial, x%5E2+-+5x+%2B+6 (see below). His/her solutions,
x = 6, and x = - 1 are obviously WRONG too!

The correct factorization and solutions follow!
2x%5E2+-+10x+%2B+12+=+0
2%28x%5E2+-+5x+%2B+6%29+=+0
x%5E2+-+5x+%2B+6+=+0
(x - 3)(x - 2) = 0 <==== Correct factorized form
x - 3 = 0       OR       x - 2 = 0
    x = 3       OR           x = 2 <===== CORRECT solutions
============================
Problem 2. x%5E2+%2B+2x+=+-11 CANNOT be factorized using integers. So, to get its roots/solutions, you'll need to use
the QUADRATIC EQUATION formula