Question

if √x-a/x-b - a/x=√x-b/x-a + b/x , b≠a then the value of X is
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Answer 1

Answer:

You must use brackets to correctly express your terms in the above.

Without them we can only guess what the correct order of operation is

e.g. in #4,

did you mean:

√(4x-9) + ...

or

√(4x) - 9 + ...

or, the way you typed it

(√4)(x) - 9 + ....

I will assume you meant:

√(4x-9) + √(4x+9) = 5 + √7

To solve this requires some rigorous algebra,

but by some lucky coincidence , we can match up the terms to get a solution.

let √(4x+9) = 5

4x+9 = 25

4x = 16

x = 4

and if we let √(4x-9) = √7

4x-9 = 7

4x=16 ----> x = 4

This "method" seldom works, I just happened to notice it.

if the right side had been .... = 6 + √7 it would not work .

#5 I will assume you meant

x = 1/(2+√3) and y = 1/(2-√3) instead of what you typed

rationalizing both I got

x = 2-√3 , and y = 2 + √3

then 1/(x+1) + 1/(y+1) ----> again I assumed that's what you meant to type

= 1/(2-√3 + 1) + 1/(2+√3 + 1)

= 1/(3-√3) + 1/(3+√3)

= [ (3+√3) + (3-√3) ] / ( (3-√3)(3+√3) )

= 6/(9-3)

= 6/6

= 1