anonymous
  • anonymous
Using the following equation, find the center and radius: x2 + 2x + y2 + 4y = 20 The center is located at (1, 2), and the radius is 25. The center is located at (-1, 2), and the radius is 25. The center is located at (-1, -2), and the radius is 5. The center is located at (1, 2), and the radius is 5.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@LynFran
misty1212
  • misty1212
HI!!
misty1212
  • misty1212
this is a job for "completing the square" you have to do it twice, once for \(x^2+2x\) and again for \(y^2+4y\) it is not too hard do you know how to do it?

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anonymous
  • anonymous
no
misty1212
  • misty1212
ok lets start with \[x^2+2x\] what is half of 2?
anonymous
  • anonymous
1
misty1212
  • misty1212
right and now what is \(1^2\_?
anonymous
  • anonymous
1
misty1212
  • misty1212
oops what is \(1^2\)?
misty1212
  • misty1212
ok so we turn \[x^2+2x\] in to \[(x+1)^2\] and add 1 to the other side making it \[(x+1)^2+y^2+4y=21\]
misty1212
  • misty1212
now repeat with \(y^2+4y\) what is half of 4?
anonymous
  • anonymous
2
misty1212
  • misty1212
ok and \(2^2\)?
anonymous
  • anonymous
2
misty1212
  • misty1212
hmm no
anonymous
  • anonymous
sorry 4
misty1212
  • misty1212
right so turn \(y^2+4y\) in to \((y+2)^2\) and add 4 to the other side
misty1212
  • misty1212
now we are at \[(x+1)^2+(y+2)^2=25\] and from that you can read off the center and the radius as it is in standard form for a circle
misty1212
  • misty1212
you good from there?
anonymous
  • anonymous
Yea so the answer is (-1,-2) radius 5?
misty1212
  • misty1212
yes
anonymous
  • anonymous
thx
misty1212
  • misty1212
\[\color\magenta\heartsuit\]
juanpabloJR
  • juanpabloJR
That was great but you can also try-> \(\href{http:///bfy.tw/5Ay}{\sf \huge Click~for~Math~Help}\)

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