Question

7/x+1=2x-1/36 solve for x

Answer 1

Answer:

x = 11 is the solution of a given algebraic expression

Step-by-step explanation:

Step(i):-

Given

        $\frac{7}{x+1} = \frac{2x-1}{36}$

cross multiplication, we get

    7 ( 36) = (2x -1) (x +1)

   252    =  2 x ( x +1) -1( x+1)

  252    = 2 x² + 2x - x -1

  252    = 2 x² + x -1

  2 x² + x -1 = 252

  2 x² + x  = 252 +1

  2 x² + x - 253 = 0

Step(ii):-

The factors of 2 x² + x - 253 = 0

  2 x² + 23 x - 22x - 253 =0

  x ( 2x + 23) - 11 ( 2x +23 ) =0

  ( x -11) ( 2x + 23) =0

  x = 11  ,  x = $\frac{-23}{11}$

Final answer:-

The value of x = 11