anonymous
  • anonymous
Slove x2+9x+14=0 by using factoring formula
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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jagr2713
  • jagr2713
Hey do you know how to factor?
anonymous
  • anonymous
No I don't I forgot :(
anonymous
  • anonymous
Can you explain me it

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jagr2713
  • jagr2713
So we look at the last number, what numbers go into 14 and can be added to 9? because the + is before the 14 makes it + if it was - then a number subtracted that equals to 14
anonymous
  • anonymous
7 can go into 14?
jagr2713
  • jagr2713
can it be added to 9?
anonymous
  • anonymous
No I don't think so
jagr2713
  • jagr2713
7*2=14 correct? 7+2?
anonymous
  • anonymous
=9
jagr2713
  • jagr2713
Great so when it + and + its the same so how would we put this?
jagr2713
  • jagr2713
so we break down x2 into (x+_)(x+_)
jagr2713
  • jagr2713
(x+_)(x+_)=0
mathmale
  • mathmale
Here's what jagr said earllier: "So we look at the last number, what numbers go into 14 and can be added to 9." To clarify this: Identify FACTORS of the last coefficient (14) and lilst them: 1, 2, 7, 14. Next, choose from this set of numbers the two that ADD UP to 9.
mathmale
  • mathmale
Note that the 14 is called "the constant term," and that that 9 "the coefficient of the middle term."
jagr2713
  • jagr2713
Yes, when we have a neg and pos, the number next to the last number will be NEG because + means same and - means different
anonymous
  • anonymous
X+7 and x+3
jagr2713
  • jagr2713
Where did you get 3?
anonymous
  • anonymous
X+7 and x+9?
jagr2713
  • jagr2713
No, ok lets start over, Ok we look at the last number which is 14. So what number that goes into 14 that CAN be added to get 9. So how 9 is the second number, we are trying to get from 14
anonymous
  • anonymous
Is it 2 because 7*2=14 and 7+2=9
jagr2713
  • jagr2713
Correct so what do we get?
mathmale
  • mathmale
Your reasoning is good, appropriate, but what are you asking in "Is it 2?" What are the two binomial factors? Have you checked your work by multiplying these factors together?
jagr2713
  • jagr2713
So we get (X+7)(x+2)=0 When we have the "=0" all we do is put it = to 0 like this x+7=0 and x+2=0 solve :D
mathmale
  • mathmale
therefore, the two "solutions" of the given equation are x= ? and x= ?
mathmale
  • mathmale
check these in the original equation, to be sure.
anonymous
  • anonymous
So x= -7 and X= -2
mathmale
  • mathmale
Yes. If you substitute these back into your original equation, one at a time, your equation should be TRUE. Nice work!
anonymous
  • anonymous
Thank you very much :)
mathmale
  • mathmale
My great pleasure. Appreciate your interest and desire to do well!
anonymous
  • anonymous
Can you help me on 1 more pls?
anonymous
  • anonymous
x2-8x=33

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