i x sup2 ndash 17x 72 0 ii y sup2 ndash 27y 180 0 ........

Quantitative Aptitude(IBPS CL) Quadratic Equations

Directions : In each of these questions, two equations (i) and (ii) are given. You have to solve both the equations and give answer

(i) x ² – 17x + 72 = 0

(ii) y ² – 27y + 180 = 0

x>y

x≥y

x<y

x ≤y

x = y or no relation can be established between x and y.

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Explanation:

(i) x ² – 17x + 72 = 0 x ² - 9x – 8x +
72 = 0
x(x – 9) – 8 (x – 9) = 0
(x – 8) (x – 9) = 0 x = 8, 9
(ii) y ² – 27y + 180 = 0
y ² – 12y – 15y + 180 = 0 y(y – 12)
– 15 (y – 12) = 0
(y – 15) (y – 12) = 0
y = 15, 12
y > x