anonymous
  • anonymous
math help question is in comment
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
In the equation x^2-13x+30=(x+g)(x+h) G and H are both intergers. There are two possible values for G. what are they im lost on how to do it
anonymous
  • anonymous
you can use the master product rule. the key is to factor the equation. do yu know how to factor?
anonymous
  • anonymous
yea

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anonymous
  • anonymous
so factor it and let's see what you get...
anonymous
  • anonymous
(x−3)(x−10)
anonymous
  • anonymous
so rewrtie your factors so that the operation between x and the integer is addition
anonymous
  • anonymous
rewrite, sorry... do you understand?
anonymous
  • anonymous
im lost
anonymous
  • anonymous
so you have (x-3) and (x-10) as your factors, right?
anonymous
  • anonymous
yea
anonymous
  • anonymous
well, (x-3) = (x+[-3]), correct?
anonymous
  • anonymous
no just (x-3)
anonymous
  • anonymous
remember, subtraction is addition of the opposite. that's actually how subtraction is defined! what is the opposite of 3?
anonymous
  • anonymous
-3
anonymous
  • anonymous
there you go! so is 5-3 the same as 5+(-3)?
anonymous
  • anonymous
but it says tht there are 2 possible factors for G
anonymous
  • anonymous
(g+h)=-13 (g*h)=30
anonymous
  • anonymous
yep... (x+(-3)) and (x+(-10))... does that make sense? a way to check is to see what values of x make the factors equal to 0. with (x-3), what value of x makes the factor 0? with (x +(-3)) what value of x makes the factor 0? is it the same value in both? if so, then the factors must be equivalent.
anonymous
  • anonymous
so G can be either -3 or -10.
anonymous
  • anonymous
ohhh i get it thx
anonymous
  • anonymous
you're welcome

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