Math, asked by vedanshchauhan45, 1 month ago

pls help me friends and give me genuine answer​

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Answered by senboni123456
1

Step-by-step explanation:

We have,

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

 \implies\frac{1}{a + b + x}  -  \frac{1}{x}   =  \frac{1}{a}  +  \frac{1}{b}  \\

 \implies\frac{x - a - b - x}{(a + b + x)x}    =  \frac{a + b}{ab}   \\

 \implies\frac{-( a  + b) }{(a + b + x)x}    =  \frac{a + b}{ab}   \\

 \implies - ab = ax + bx +  {x}^{2}

\implies \: x(x + b) + a(x + b) = 0

\implies(x + b)(x  + a) = 0

\implies \: x =  - b \:  \: or \:  \: x =  - a

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