anonymous
  • anonymous
Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle. x2 + y2 + 4y + 2 = 0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle. x2 + y2 + 4y + 2 = 0
anonymous
  • anonymous
can u helpme
saifoo.khan
  • saifoo.khan
@Directrix are you good with circles?

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anonymous
  • anonymous
noup
anonymous
  • anonymous
help mee
anonymous
  • anonymous
sir
anonymous
  • anonymous
helloo
Directrix
  • Directrix
@Shaks I'm hoping you understand the process of completing the square. We'll need that to get x2 + y2 + 4y + 2 = 0 into the standard form of the equation of a circle. That standard form is (x - h) ^2 + (y - k) ^2 = r^2 where (h,k) are the coordinates of the center of the circle and r is the radius of the circle. Check out the attachment.
anonymous
  • anonymous
is that the asnwer
Directrix
  • Directrix
No. Focus on the process, not the answer.
anonymous
  • anonymous
yeaa
anonymous
  • anonymous
getting it kind it
anonymous
  • anonymous
of
anonymous
  • anonymous
The center is (0,-2)
Directrix
  • Directrix
So, x^2 + y^2 + 4y + 2 = 0 can be written as x^2 + y^2 + 4y + __4_ = 0 + 4 (x + 0) ^2 + (y + 2) ^2 = 4 ---> Your Circle Now, look at the standard form for the circle equation, compare it to the equation, and pick out the coordinates of the center and the value of the radius. Post what you get, and I'll check. @Shaks
Directrix
  • Directrix
r = ?
anonymous
  • anonymous
x^2+(y+2)^2=3 is this the standerd form
anonymous
  • anonymous
r= -2
anonymous
  • anonymous
hello
anonymous
  • anonymous
are u there
Directrix
  • Directrix
r= -2 --> Incorrect
anonymous
  • anonymous
then how to solve it
Directrix
  • Directrix
Look at standard form for circle equation: That standard form is (x - h) ^2 + (y - k) ^2 = r^2 where (h,k) are the coordinates of the center of the circle and r is the radius of the circle. What positive number times itself = 4? That's your r.
anonymous
  • anonymous
2 is r
Directrix
  • Directrix
Correct.
anonymous
  • anonymous
got it
anonymous
  • anonymous
noo r is not 2
anonymous
  • anonymous
is it 4
Directrix
  • Directrix
@Shaks I messed up by dropping the 2. So, x^2 + y^2 + 4y + 2 = 0 can be written as x^2 + y^2 + 4y + __4_ = 2 + 4 = 6. r^2 = 6 and r is square root of 6.
anonymous
  • anonymous
is it 6
anonymous
  • anonymous
2.44
Directrix
  • Directrix
6 = r^2. We want r which is square root of 3.
anonymous
  • anonymous
hmm
anonymous
  • anonymous
trying to understand
anonymous
  • anonymous
1.7
anonymous
  • anonymous
did not get it it too doficult
anonymous
  • anonymous
difficult
Directrix
  • Directrix
You approximated square root of 3 to get 1.7. I stick with exact form but I don't know what your options are.
anonymous
  • anonymous
yaa i got it
anonymous
  • anonymous
Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.) x + 42 = x
anonymous
  • anonymous
now 1 more sum

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