Find the value of X
Please don't give incorrect answer for the points .
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Answer:
1/ [2a+b+2x] = 1/2a+ 1/b + 1/2x
x( 1 / [2a+b+2x] ) - (1 / 2x ) = (1/2a) + (1/b)
a) + (1/b)=> { x - [2a+b+2x] } / ([2a+b+2x] × 2x ) = {2a+b} / 2ab
ab=> - { 2a+b} / ( [2a+b+2x] ×2x ) = { 2a+b} / 2ab
ab=> -1 / ( [2a+b+2x] × 2x ) = 1 / 2ab
On Cross Multiplication :
-2ab = [ 2a+b+2x] × 2x
xOn Simplification :
4x²+ (2a+b) 2x + 2ab = 0
➙ 2x²+ (2a+b)x + ab = 0
Applying the Splitting the middle term method :
2x²+ 2ax+bx + ab = 0
➙ 2x( x + a) + b(x + a) = 0
➙ ( 2x + b) ( x + a) = 0
Therefore Either (x+a) = 0 or (2x+b) = 0
Which leads to x = -a or x = -b/2
Hence the required solution
x = - a , - b/2
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