Question

Daca x si y satisfac relatia ax²+2bxy+cy²=0, sa se determine
$\frac{x}{y}$ (y≠0). Mersi

Answer 1

(√a x +√c y)² =0 ⇒ √a x +√c y =0 ⇒ √a x =- √c y⇒
⇒ x/y=-√c/√a = -√(c*a)/a 

2√a * √c xy = 2bxy
√(a*c)=b
⇒ x/y = -b/a