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 2 years ago
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
 2 years ago
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

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Shaks
 2 years ago
Best ResponseYou've already chosen the best response.0Show 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

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.0@Directrix are you good with circles?

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0@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.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0No. Focus on the process, not the answer.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0So, 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

Shaks
 2 years ago
Best ResponseYou've already chosen the best response.0x^2+(y+2)^2=3 is this the standerd form

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0Look 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.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0@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.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.06 = r^2. We want r which is square root of 3.

Shaks
 2 years ago
Best ResponseYou've already chosen the best response.0did not get it it too doficult

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0You approximated square root of 3 to get 1.7. I stick with exact form but I don't know what your options are.

Shaks
 2 years ago
Best ResponseYou've already chosen the best response.0Find all real solutions of the equation. (Enter your answers as a commaseparated list. If there is no real solution, enter NO REAL SOLUTION.) x + 42 = x
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