Question

if 15(2x2-y2)=7xy find x:y​

Answer 1

Given 15( 2x2 - y2 ) = 7xy

⇒ 30x2 - 7xy - 15y2 = 0

⇒ 30x2 - 25xy + 18xy - 15y2 = 0

⇒ 5x(6x - 5y) + 3y(6x - 5y) = 0

5x + 3y = 0 and 6x - 5y = 0

5x = -3y  and 6x = 5y

x / y = -3 / 5 and x / y = 5 / 6.

x : y = -3 :5 or 5 : 6.