Question

7. If x=
2ab
find the value of X+4.x+b
8. If x= Bab
find the value of
x + 4a x + 4b
* - 4a x-4b
9. If x=
416
V2+ 13
find the value of x+22 x+213
x-212-213
Hint​

Answer 1

Answer:

Given : x = 8ab / (a + b) ==> x = 4a * 2b / (a + b)

=> x / 4a = 2b / (a + b) - - - (1)

Similarly, x / 4b = 2a / (a + b) - - - -(2)

Now, using Componendo & Dividendo in (1) & (2)

and adding left to left and right to right we get,

(x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) =

. . (2a + a + b) / (2a - a - b) + (2b + a + b) / (2b - a - b)

=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (3a + b) / (a - b) + (3b + a) / (b - a )

=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (3a + b) / (a - b) - (3b + a) / (a - b )

=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (3a + b - 3b - a) / (a - b)

=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (2a - 2b) / (a - b) = 2(a - b) / (a - b)

=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b)

hope it helps u

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Step-by-step explanation: