If 9x2 + y2 = 37 and xy = 2 x...

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If 9x² + y² = 37 and xy = 2, x, y > 0, then the value of (27x³ + y³) is:

A. 301

B. 217

C. 207

D. 259

Answer: Option B

xy = 2
2 × 1
1 × 2
at x = 2, y = 1
9x² + y² = 37
9 × 4 + 1 = 37
37 = 37 it satisfy
27x³ + y³
= 27 × 2³ + 1³
= 27 × 8 + 1
= 217

This Question Belongs to Arithmetic Ability >> Algebra

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