Instructions

In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer. Give answer :
a:If x < y
b: If x > y
c: If x ≤ y
d: If x ≥ y
e: If relationship between x and y cannot be determined ,

Question 14

I. $$10x^{2} + 21x + 8 = 0$$
II. $$5y^{2} + 19y + 18 = 0$$

Solution

I. $$10x^{2} + 21x + 8 = 0$$

=> $$10x^2 + 5x + 16x + 8 = 0$$

=> $$(5x + 8) (2x + 1) = 0$$

=> $$x = \frac{-8}{5} , \frac{-1}{2}$$

II. $$5y^{2} + 19y + 18 = 0$$

=> $$5y^2 + 10y + 9y + 18 = 0$$

=> $$(5y + 9) (y + 2) = 0$$

=> $$y = \frac{-9}{5} , -2$$

$$\therefore x > y$$

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I. $$10x^{2} + 21x + 8 = 0$$II. $$5y^{2} + 19y + 18 = 0$$

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I. $$10x^{2} + 21x + 8 = 0$$
II. $$5y^{2} + 19y + 18 = 0$$