Question

$\frac{1}{2a + b + 2x} = \frac{1}{2a} + \frac{1}{b} + \frac{1}{2x}$
solve the following for x .

Answer 1

HELLO DEAR,


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


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

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

=> 2a + b will cancel from Both side

we get,


=> -2ab = (2x)(2a+b+2x)

=> -2ab = 4ax + 2bx + 4x²

=> 4x² + 2bx + 4ax + 2ab = 0

=> 2x(2x + b) + 2a(2x + b) = 0

=> (2x +2a)(2x + b) = 0

=> 2x + 2a = 0

x = - a

2x + b = 0

x = - b / 2


x = -a , -b/2


I HOPE ITS HELP YOU DEAR,
THANKS