Question

find the radius and circle 2x²+2y²+10x-6y-1=0​

Answer 1

Step-by-step explanation:

2 x2 + 2y2 + 10x = 2y + 7

(2x2 + 2y2 + 10x)/2 = (2y + 7)/2

x2 + y2 + 5 x = y + 7/2

x2 + 5 x +y2- y = 7/2

x2 + 5 x + (5/2)2 + y2 - y + (1/2)2 = 7/2 + (5/2)2+(1/2)2

(x+5/2)2+ (y−1/2)2 = 7/2 + (25/4) + (1/4) = 7/2 + 13/2 = 20/2 = 10

center point (-5/2, 1/2) radius = (10)1/2