Math, asked by Abhikuttanz, 9 months ago

HI friends....✌️
Pls answer this math question only if u know...or else..pls leave it...​

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Answered by Anonymous
40

{\red{\underline{\huge{\mathbb{Solution:-}}}}}

 \frac{1}{(x - 1)(x - 2)}  +  \frac{1}{(x - 2)(x - 3)}  =  \frac{2}{3 }

Apply the rule of separation.

 =  >  \frac{1}{(x - 2)}  -  \frac{1}{(x - 1) }   +  \frac{1}{(x - 3)}  -  \frac{1}{(x - 2)}  =  \frac{2}{3}   \\  =  >  \frac{1}{(x - 3)}  -  \frac{1}{(x - 1)}  =  \frac{2}{3 }  \\  =  >  \frac{(x - 1) - (x - 3)}{(x - 3)(x - 1)}  =  \frac{2}{3}  \\  =  >  \frac{x - 1 - x + 3}{ {x}^{2}  - 4x + 3}  =  \frac{2}{3}  \\  =  >  \frac{2}{ {x}^{2}  - 4x + 3}  =  \frac{2}{3}  \\  =  > 2 {x}^{2}  - 8x + 6 = 6 \\  =  > 2 {x}^{2}  - 8x = 6 - 6 \\  =  > 2 {x}^{2}  - 8x = 0 \\  =  > 2x(x - 4) = 0 \\  =  > x - 4 = 0 \\  =  > x = 4

★Answer:-

x = 4

Answered by AthulKrishnaa
2

HI ABHI......!

...x = 0, x = 4

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