Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer if; I. 10x² - 17x – 20 = 0 II. 15y² + 7y – 4 = 0

Explanation

I. 10x² - 17x – 20 = 0 10x² + 8x - 25x – 20 = 0 2x (5x + 4) – 5(5x + 4) = 0 (2x – 5) (5x + 4) = 0 ∴ x = 5/2 , -4/5 II. 15y² + 7y – 4 = 0 15y² - 5y + 12y – 4 = 0 5y (3y – 1) + 4 (3y – 1) = 0 (3y – 1) (5y + 4) = 0 ∴y = -4/5 , 1/3 Hence, no relationship cannot be established between x and y. Alternate Solution: Here it is no need to solve the equations, The roots of x are + & - and the roots of y are also even + & -. Hence, no relationship cannot be established between x and y.