Show that the equation represents a circle by rewriting it in standard form.

Question

Show that the equation represents a circle by rewriting it in standard form.

5x² + 5y² − 7x = 0

Answer 1

5x^2 - 7x + 5y^2 =0, complete the circle for x

5(x^2 - 7x/5 + 49/100) + 5y^2 = 49/20

5(x- 7/10)^2 + 5y^2 = 49/20

(x-7/10)^2 + y^2 = 49/100 = (7/10)^2

It's a circle with center (7/10, 0) and radius 7/10

general form is

(x-h)^2 + (y-k)^2 = r^2 with (h,k) = center, r = radius