Alex_Mattucci
  • Alex_Mattucci
Please Help Me! Transform x2 + 10x + 24 = 0 into the form (x - p)2 = q? [p and q are integers] Three steps only! Show Work!
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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Alex_Mattucci
  • Alex_Mattucci
Getting answer in a sec
anonymous
  • anonymous
did u get it answer
Alex_Mattucci
  • Alex_Mattucci
no sorry, it won't get them posted

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anonymous
  • anonymous
ok
Alex_Mattucci
  • Alex_Mattucci
can you walk me through a step by step of this
Alex_Mattucci
  • Alex_Mattucci
preferably 3 steps
anonymous
  • anonymous
the last one for sure 1st not can't be cuz 0x + 24 = 0 can't positively = out (x - p)2 = q ID think so
Alex_Mattucci
  • Alex_Mattucci
What?
anonymous
  • anonymous
just nvm
anonymous
  • anonymous
@Daniellelovee por favor ayudenos
anonymous
  • anonymous
does it make sense no
Alex_Mattucci
  • Alex_Mattucci
no
Alex_Mattucci
  • Alex_Mattucci
@Directrix Please help here
zepdrix
  • zepdrix
So this problem is asking you to `complete the square`.\[\large\rm x^2+10x+24=0\]Subtracting 24,\[\large\rm x^2+10x\qquad\qquad=-24\]We'll attempt to complete the square on these x's.
zepdrix
  • zepdrix
When we have a quadratic in this form: \(\large\rm x^2+bx\) There is a special value we want to add to the expression to complete it. That value is calculated this way: You take your b coefficient, cut it half, then square it.\[\large\rm \left(\frac{b}{2}\right)^2\]
zepdrix
  • zepdrix
So for this problem, we see that 10 is the b coefficient,\[\large\rm \left(\frac{10}{2}\right)^2=25\]Cut 10 in half, and then squaring it gives us 25. This is the special value that we'll add to both sides of our equation to complete the square.
zepdrix
  • zepdrix
\[\large\rm x^2+10x+25=-24+25\]
zepdrix
  • zepdrix
\[\large\rm x^2+10x+25=1\]
zepdrix
  • zepdrix
Then our expression on the left will simplify down to \(\large\rm \left(x+\frac{b}{2}\right)^2\) You can verify this by doing factoring by grouping from this point. But anyway, should get something like this,\[\large\rm (x+5)^2=1\]
Alex_Mattucci
  • Alex_Mattucci
ok, i got that so far!
Alex_Mattucci
  • Alex_Mattucci
oh, that is the answer!
zepdrix
  • zepdrix
From this point, compare this to the expression involving p and q, and try to match up the numbers carefully.
zepdrix
  • zepdrix
Or did they just want it in that form :) Ya maybe I misread the question hehe
Alex_Mattucci
  • Alex_Mattucci
Thank you so much for your help, could you possibly help me with one more problem though?

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