Answer:
x = 11 is the solution of a given algebraic expression
Step-by-step explanation:
<u><em>Step(i):</em></u>-
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
<u><em>Step(ii)</em></u>:-
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 =
<u><em>Final answer:</em></u>-
The value of x = 11