Question

Solve by factorising:

$13. \: \frac{x + 3}{x - 2} - \frac{1 - x}{x} = \frac{17}{4} \: \:$
x # 2 , 0

Ans: 4, -2 / 9

Standard:- 10

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From Quadratic Equation

Answer 1

Hey friend,

Here is your answer
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 x+3  -  1-x  =  17 
 x-2        x         4 

=> x² + 3x - x + x² + 2 -2x  =  17
              x² - 2x                        4

=> 2x² + 2  =  17
     x² - 2x        4

=> 8x² + 8 = 17x² - 34x

=> 0 = 9x² - 34x - 8

=> 9x² - 36x + 2x - 8 = 0

=> 9x(x-4) + 2(x-4) = 0

=> (9x+2)(x-4) = 0

=>  9x + 2 = 0                      x - 4 = 0

=>   x = ⁻²/₉                          x = 4

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Hope this helped you !!
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Answer 2

Hey, I have attached the solution to your question. Kindly have a look over it. Hope it helps you. :)