Question

If x =− 2 and x^2+y^2+3xy =-5 , then find y

Answer 1

y = 3

Explanation:

Given:

x²+y²+3xy =-5 and x = -2

Substituting x=-2 into the equation:

(-2)² + y² + 3y(-2) = -5

4 + y² - 6y = -5

y² - 6y +4 + 5 = 0

y² - 6y +9 = 0 (solve by factorization)

(y-3) (y-3) = 0

y = 3