anonymous
  • anonymous
Can someone check this for me? (completing the square)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
y = -2x^2 - 20x - 48
anonymous
  • anonymous
then i rewrote that into: y = -2(x^2 - 20x ____) -48 -20/2 = -10 then square it and I got 100 y = -2(x^2 - 20x +100) -48
anonymous
  • anonymous
then I added 100 to both sides and I got: y + 100= -2(x - 10)^2 -48 -100 -100 ------------------------ y = -2(x - 10)^2 - 148

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anonymous
  • anonymous
You subtracted 100 though ^
anonymous
  • anonymous
you add 48 to the other side and then also the 100 and the quadratic = 148
anonymous
  • anonymous
then you can factor the left side
anonymous
  • anonymous
can you show me that in steps? like from the beginning
anonymous
  • anonymous
you did it rite just set the equation = 0 then subtract 49 from both sides so 2x^2-20x=48
anonymous
  • anonymous
then complete the square and add the 100 to both sides
anonymous
  • anonymous
so it'd be 0 = -2(x^2 - 20x + 100) -48 ?
anonymous
  • anonymous
why do I need to factor that
anonymous
  • anonymous
Ok I got it thanks! and one more question
anonymous
  • anonymous
How would I solve: x^2 - 38x + c also by completing the square
anonymous
  • anonymous
c is a constant most likely just move it to the other side and complete the square
anonymous
  • anonymous
what is that going to give me?
anonymous
  • anonymous
x^2-38x=c
anonymous
  • anonymous
and what would be the next step
anonymous
  • anonymous
0 = (x2 - 38x ___) +c ?
anonymous
  • anonymous
square the -38 and do the same to both sides
anonymous
  • anonymous
(x^2-38x+__)=__-c
anonymous
  • anonymous
-38/2 = -19^2 = 361
anonymous
  • anonymous
yup
anonymous
  • anonymous
so that is on both sides
anonymous
  • anonymous
(x^2-38x+361)=361-c
anonymous
  • anonymous
okay so far i have: (x^2 - 38x + 361) = 361 -c
anonymous
  • anonymous
right now you should be able to factor the quadratic which is the point of completing the square
anonymous
  • anonymous
so like: ____ x___ = 361 ____+___= -38
anonymous
  • anonymous
right it will be the same number it is squared
anonymous
  • anonymous
-19
anonymous
  • anonymous
yup
anonymous
  • anonymous
(x-19)^2 = 361 - c?
anonymous
  • anonymous
and the first equation was x^2-10+25=49
anonymous
  • anonymous
right
anonymous
  • anonymous
what do I do now?
anonymous
  • anonymous
with the second you can't do anything it is most likely to show how you did the work
anonymous
  • anonymous
x-5=7
anonymous
  • anonymous
so just that ^
anonymous
  • anonymous
how would i write tht in intercept form
anonymous
  • anonymous
do you mean y=mx+b
anonymous
  • anonymous
no I also have to rewrite tht in intercept
anonymous
  • anonymous
the x intercept is +or-(7/5,0)
anonymous
  • anonymous
that is the y is 0

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