Answer:
x = 11 is the solution of a given algebraic expression
Step-by-step explanation:
Step(i):-
Given
[tex]\frac{7}{x+1} = \frac{2x-1}{36}[/tex]
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 = [tex]\frac{-23}{11}[/tex]
Final answer:-
The value of x = 11
