If 3x + 5y = 14 and xy = 6, then what is

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If 3x + 5y = 14 and xy = 6, then what is the value of $9x^2 + 25y^2$ ?

Options:

182

Correct Answer:

Explanation:

If $K+ l=n$

then, $K^2+ l^2$ = n² – 2 × k × l

If 3x + 5y = 14

xy = 6,

then the value of $9x^2 + 25y^2$ = 14² – 2 × 3 × 5 × 6 = 16