If 4x2 + y2 = 40 and xy = 6, find the po

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If 4x² + y² = 40 and xy = 6, find the positive value of 2x + y.

Options:

Correct Answer:

Explanation:

4x² + y² = 40

xy = 6

find the positive value of 2x + y.

(2x + y)²= 4x²+ y² +4xy

xy = 6

4xy = 4 × 6 = 24

Now,

(2x + y)²= 4x²+ y² + 4xy

Substituting values of y²+ 4x² and 4xy from above

We get,

(2x + y)² = 40 + 24

= (2x + y)²= 64

= (2x + y) = ±8

= (2x + y) = 8