Direction In the question given below two equations are provided Solve the equations and establish t...........

Quantitative Aptitude (SBI-CL) Quadratic Equations

Direction: In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

I. 2x² - 13x - 189 = 0

II. 2y² - 3y - 189 = 0

x>y

x≥y

x<y

x≤y

x=y or the relationship cannot be established

Explanation:

I. 2x² - 13x - 189 = 0

2x² - 27x + 14x - 189 = 0

x(2x - 27) + 7(2x - 27) = 0

x = -7, 27/2

II. 2y² - 3y - 189 = 0

2y² - 21y + 18y - 189 = 0

y(2y - 21) + 9(2y - 21) = 0

y = -9, 21/2

When x, as well as y, have both positive and negative values then no relationship can be established between them because if we consider x to be positive then the negative value of y will be lesser than x. If we consider x to be negative then positive value of y will be greater than x.