I 14x sup2 ndash 5 radic 15 x ndash 90 0 II 6y sup2 radic 21 y ndash 21 0 ........

Quantitative Aptitude ( CCS) Quadratic Equations

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I) 14x² – 5√15 x – 90 = 0

II) 6y² + √21 y – 21 = 0

x<=y

x>y

x>=y

relationship between x and y cannot be determined

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Explanation:

I) 14x²-5√15 x-90=0
14x²-12√15 x+7√15 x – 90 = 0
2x(7x – 6√15)+ √15(7x – 6√15) = 0
(2x + √15)(7x – 6√15) = 0
x = -√15/2, (6√15)/7
II) 6y²+√21 y-21=0
6y²+3√21 y-2√21 y -21=0
3y(2y+√21)- √21(2y+√21)=0
(3y- √21)(2y+√21)=0
y =√21/3 ,-√21/2
Hence, relationship between x and y cannot be determined