If x +2 y = 10 and 2xy = 9, then one of

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x +2 y = 10 and 2xy = 9, then one of the value of x − 2y is :

Options:

Correct Answer:

Explanation:

We know that,

If x + y = n

then, x - y = $\sqrt {n^2 - 4xy}$

If x +2 y = 10

2xy = 9,

So, xy = 4.5

then one of the value of x − 2y = $\sqrt {10^2 - 4×2×4.5}$

x − 2y = $\sqrt {64}$ = 8