Question

using properties of proportion solve for x, given x is positive 2x+√(4x²-1)/2x-√(4x²-1)=4​

Answer 1

Answer:

5/8 is the answer

Step-by-step explanation:

ANSWER

Given expression is

2x+√4x2-1/2x-√4x2−1=4

We use componendo and dividendo in above expression, we get

(2x+√4x2−1+2x− √4x2−1)/(2x+√4x2−1)-(2x−√4x2−1)=4

2x/√4x-1=4+1/4-1=5/3

Squaring and rearranging, we get:

4x 2×9=5(4x 2−1)

⇒36x2

=100x2−25

⇒x=± 5/8

Choosing the positive value of x we get x= 5/8

plz mark me as branliest and like me plz and I think that it helps to you