If x3 + y3 = 1674 x + y = 18, - CUETMOCK

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Home Questions E7XVGV95YB

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x³ + y³ = 1674

x + y = 18,

Find the value of xy.

Options:

77

66

55

88

Correct Answer:

77

Explanation:

x³ + y³ = 1674

x + y = 18

(x + y)³ = x³ + y³ + 3xy (x + y)

5832 = 1674 + 54xy

xy = \(\frac{4158}{54}\)

xy = 77

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