i x 2 minus 11x 24 0 ii y 2 minus 12y 27 0 ........

Quantitative Aptitude ( CCS) Quadratic Equations

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(i) x^2 − 11x + 24 = 0

(ii) y^2 − 12y + 27 = 0

y > x

x >= y

y >= x

No relation exists

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Explanation:

(i) ??^2 − 11?? + 24 = 0
??^2 − 8?? − 3?? + 24 = 0
??(?? − 8) − 3(?? − 8) = 0
(?? − 3)(?? − 8) = 0
?? = 3 , 8
(ii) ??^2 − 12y + 27 = 0
??^2 – 9?? − 3?? + 27 = 0
??(?? − 9) − 3(?? − 9) = 0
(?? − 9)(?? − 3) = 0
?? = 9 , 3
No relation exists