If x3 + y3 = 189 x + y = 9 Find the va - CUETMOCK

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x³ + y³ = 189

x + y = 9

Find the value of xy.

Options:

20

25

22

18

Correct Answer:

20

Explanation:

x³ + y³ = 189

x + y = 9

(x + y)³ = x³ + y³ + 3xy (x + y)

729 = 189 + 27xy

xy = \(\frac{540}{27}\)

xy = 20

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