LIC AAO Model Paper 10

I. $25{\mathit{x}}^2$ + 35x + 12 = 0
⇒ $25{\mathit{x}}^2$ + 15x + 20x + 12 = 0
⇒ 5x (5x + 3) + 4 (5x + 3) = 0
⇒ (5x + 4) (5x + 3) = 0
⇒ x = $-\frac{4}{5}$ or , $-\frac{3}{5}$
II. $10{\mathit{y}}^2$ + 9y + 2 = 0
⇒ ${10}^2$ + 5y + 4y + 2 = 0
⇒ 5y (2y + 1) + 2 (2y + 1) = 0
⇒ (2y+ 1) (5y + 2) = 0
⇒ y = $-\frac{1}{2}$ or , $-\frac{2}{5}$
Clearly, x < y