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

x = 11 is the solution of a given algebraic expression

Step-by-step explanation:

Step(i):-

Given

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 =

Final -

The value of x = 11

5

step-by-step explanation:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2