Question

If x square plus y square - 2x + 6 Y + 10 is equals to zero then X square + Y square is equals to

Answer 1

Answer:

x² + y² = 10

Step-by-step explanation:

If x square plus y square - 2x + 6 Y + 10 is equals to zero then X square + Y square is equals to

x² + y² - 2x + 6y + 10 = 0

=> x² - 2x + 1 + y² + 6y + 9 = 0

=> (x-1)² + (y + 3)² = 0

iff (x-1)² = 0   & (y + 3)² = 0   ( as square can not be -ve , assuming real numbers)

(x-1)² = 0

x - 1 = 0

x = 1

(y + 3)² = 0

y + 3 = 0

y = -3

x² + y² = 1²  + (-3)² = 1 + 9 = 10

x² + y² = 10