For what value of k does the equation x^2+10x+y^2+6y-k=0 represent a circle of radius 6?

QuestionsBug Jun 25, 2020

#2**+2 **

I seriously don't understand why so many people like to copy questions with latex...

where do they come from???

raspberrypitechguy Jun 25, 2020

#3**+3 **

I don't know. Alcumus?

Please write out the question completely... I'll try to help when you do! :D

CalTheGreat Jun 25, 2020

#5**-1 **

A circle equation is \((x-h)^2+(y-k)^2=r^2\), where (h, k) is the center and r is the radius.

We complete the square for x and y to get it in circle form.

Add 25 and 9 to both sides to complete the square. \(x^2+10x+25+y^2+6y+9-k=25+9\)

Now we can write the squares. We also k to both sides. \((x+5)^2+(y+3)^2=34+k\)

It's in circle equation now!

Since the radius must be 6, 34+k=36.

k=2

thelizzybeth Jun 25, 2020