x y 3 1331 x ndash y z 0 xy 28 ........

Quantitative Aptitude ( CCS) Quadratic Equations

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(x+y)³ = 1331

x – y + z = 0

xy = 28

X ≤ Y < Z

X < Y > Z

X = Y > Z

X = Y = Z or relation cannot be established

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Explanation:

Answer & Explanation
X = Y or relation cannot be established
Explanation:
(x + y)³ = 1331
x + y = 11 —(a)
(x + y)² = 121
(a + b)² – (a – b)2 = 4ab
(x – y)² + 4xy = 121
x – y = 3 —(b)
From eqn (a) and (b)
x = 7; y = 4 Put values in eqn (2) => z = -3