Question

Solve quadratic equation by Factorization :

$\frac{1}{2a + b + 2x} = \frac{1}{2a} + \frac{1}{b} + \frac{1}{2x}$

Answer 1

hey mate here's ur answer

hope it helps u

Answer 2

$Given:\frac{1}{2a + b + 2x} = \frac{1}{2a}+\frac{1}{b}+\frac{1}{2x}$

$=>\frac{1}{2a + b + 2x} -\frac{1}{2x} =\frac{1}{2a}+\frac{1}{b}$

$=>\frac{2x - 2a - b - 2x}{2x(2a + b + 2x)} =\frac{2a + b}{2ab}$

$=>\frac{-2a - b}{2x(2a + b + 2x)} =\frac{2a + b}{2ab}$

$=> \frac{-1}{2x(2a + b + 2x)}=\frac{1}{2ab}$

$=> \frac{-1}{x(2a + b + 2x)}= \frac{1}{ab}$

⇒ -ab = x(2a + b + 2x)

⇒ -ab = 2ax + bx + 2x^2

⇒ 2x^2 + 2ax + bx + ab = 0

⇒ 2x(x + a) + b(x + a) = 0

⇒ (x + a)(2x + b) = 0

⇒ x = -a, -b/2.

Hope it helps!