If x and y are two positive real numbers such that x 2 +4y 2 =17 and xy =2, then find the value of x- 2y. a. 3 b. 4 c. 8 d. 9

The value of x- 2y is a. .

Step-by-step explanation:

Given:  x and y are two positive real numbers such that   and .

Consider

Put     and , we get

Taking square root on both sides , we get'

Hence, the value of x- 2y is a. .

your answer is a

step-by-step explanation:

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set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x