Question

Please help me and show the steps.

Answer 1

complete the squares to get it in this form:
(x-h)^2 + (y-k)^2 = r^2

Answer 2

Have you considered completing the square twice?

x^2 - 4x + _____ + y^2 + 10y + _____ = 7 + _____ + _____

Answer 3

Ponder this, deep in your heart: \((a+b)^{2} = a^{2} + 2ab + b^{2}\)

THAT is how to do it.

Answer 4

x^2 - 4x + 4 + y^2 + 10y + 25 = 7 + 4 + 25 ?

Answer 5

yes

Answer 6

Thanks zale and then what do I do ?

Answer 7

now add 7+4+25

Answer 8

36

Answer 9

(x^2−4x+4)+(y^2+10y+25)=7+4+25
(x^2−4x+4)+(y^2+10y+25)=36
then factor each to get the circle equation
(x^2−4x+4)=(x-2)^2
(y^2+10y+25)(x+5)^2

(x−2)^2+(y+5)^2=36
so the center is (2,-5)
and the radius is the sqrt of 36 which is 6
(x−2)^2+(y+5)^2=6^2

Answer 10

Omg thank you so much zale!

Answer 11

np, @shamil98 and @tkhunny did an awesome work

Answer 12

thanks to them too c;

Answer 13

:)

Answer 14

You found the magic numbers so that it would be a perfect square. Do not hesitate to write it as one after you complete the square.

Answer 15

Haha thankyou tkhunny [: