Question

solve for x 1/2a+b+2x=1/2a+1/b+1/2x

Answer 1

Ans:- a/2+b+2x=a/2+1/b+x/2 => 2x-x/2=1/b-b => 4x-x/2 = 1-b2/b => 3x/2= 1-b2/b =>x=2(1-b2) /3b

Answer 2

Given

• 1/2a+b+2x=1/2a+1/b+1/2x

To Find

Value of x?

Steps

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

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

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

=> -(2a + b)\(4ax + 2bx + 4x²) = (2a + b)/2ab

=> -1/(4ax + 2bx + 4x²) = 1/2ab

=> -2ab = 4ax + 2bx + 4x²

=> -ab = 2ax + bx + 2x²

=> 2x² + 2ax + bx + ab = 0

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

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

=> x = -a & x = -b/2

$\rule{110}2$