Math, asked by sonnaddarshan44, 9 months ago

solve X + 2 by X + 1 + X + 1 by X + 2 is equal to 5 by 2​

Answers

Answered by SidMistry
0

Step-by-step explanation:

x/(x - 1)  + (x - 1)/x  = 5/2

Multiplying both sides by 2x(x-1)

=> 2x²  + 2(x - 1)² = 5x(x-1)

=> 2x² + 2(x² - 2x + 1) = 5x² - 5x

=> 2x² + 2x² - 4x + 2 = 5x² - 5x

=> 4x² - 4x + 2 = 5x² - 5x

=> x² - x - 2 = 0

=>x² - 2x + x - 2 = 0

=> x(x - 2) + 1(x - 2) = 0

=>(x + 1)(x - 2) = 0

=> x = - 1  or  2

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