akki its wrong.... you took x=1 you squared both sides x² = 1 now you are doing all calculations. x² = 1, implies that x=+1 or -1, i.e. x can take only +1 or -1.(only one value will be correct) (eg:- square of 2 = 4, but square root of 4 need not to be always +2, it can also be -2 ) This step above you went wrong. Most probably you might be knowing this also. hhmm. Now subtract 1 from both sides: x² - 1 = 0 Factor as diff. of 2 squares: (x + 1)(x - 1)=0 Divide by (x-1) to both sides. Leaves: x + 1 = 0 - equation - (1) Since x can have 2 values, substitute each to equation - (1) Replace x with 1 1 + 1 not equal to 0, so value of x is not 1 Replace x with -1 -1 + 1 = 0, so value of x is -1 Hhmm Put some more like these, it will be interesting to solve
alexa is right when you are dividing by (x-1), it is under the assumption that x is not equal to 1 But, given x=1, you cannot divide, and hance the proof is mathematically wrong
Dividing by 0 is illogical... coz 0 x 1 = 0 ..... i 0 x 2 = 0 ..... ii 0 x X = 0 ..... iii so what is x? 1 or 2?
Totaly wrong .. Because by squaring then x = +1 or x = -1 So in.. x+1 = 0 then x = -1 so by subs (-1)+1 = 0 but not 1+1 = 0 so if i divided it by (x+1 ) then x-1 = 0 therefore x = 1 by subs in x therefore 1 - 1 = 0 which is true . BTW I'm 16 I love Maths , Physics and Chemistry