If 5x + y = 17 and xy = 6, then what is

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If 5x + y = 17 and xy = 6, then what is the value of 125 x³ +y³ ?

Options:

3383

1530

3183

4913

Correct Answer:

3383

Explanation:

If 5x + y = 17 and xy = 6

(5x + y)³ = (17)³

= 125x³ + y³ + 3 × 5x × y × (5x + y) = 4913

= 125x³ + y³ + 15xy × (17) = 4913

= 125x³ + y³ + 90 × (17) = 4913

= 125x³ + y³ = 4913 - 1530

= 125x³ + y³ = 3383