If 2x + y = 8 and xy = 6 , then find the

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If 2x + y = 8 and xy = 6 , then find the value of 4x² + y² ?

Options:

Correct Answer:

Explanation:

We know that,

If $K+l=n$

then, $K^2+l^2$ = n² – 2 × k × l

If 2x + y = 8

xy = 6

then find the value of 4x² + y²

4x² + y² = 8² – 2 × 2 × 6

4x² + y² = 64 – 24 = 40