if 2x = \sqrt5+1/\sqrt5, then the value of \sqrt{x^2-1}/ {x-\sqrt{x^2-1} is ____.

Algebra and Applications Test 3

Question : 17 of 25

Marks: +1, -0

2x = √5+1/√5

, then the value of

√{x^2-1}/ {x-√{x^2-1}}

is ____.

Solution:

We have

2x = √5+1/√5

Squaring both sides, we get:

4x^2=5+1/5+2

x=3/√5

Value of

{√{x^2-1}/{x-√x^2-1}}

=√{9/5-1}/{3/√5-√{9/5}-1}

={2/√5}/{3/√5-2/√5}=2

Go to Question:

Prev Question

Next Question