80 likes | 195 Views
WAH MATHS HO TO AISI. COMMON ERRORS IN MATHEMATICS. BY - RAMNATH. PROBLEM 1. Let. x = y. x 2 = xy. x 2 - y 2 = xy - y 2. (x – y) (x + y) = y(x – y). x + y = y. y + y = y. 2y= y. 2 = 1. HOWZZAAAAT 1 ???.
E N D
WAH MATHS HO TO AISI COMMON ERRORS IN MATHEMATICS BY - RAMNATH
PROBLEM 1 Let x = y x2 = xy x2 - y2 = xy - y2 (x – y) (x + y)= y(x – y) x + y = y y + y = y 2y= y 2 = 1
HOWZZAAAAT 1 ??? WELL THE SOLUTION IS SIMPLE WE JUST CAN’T CANCELOUT THE TERMS X-Y ON BOTH SIDES AS IN STEP 4 BCOZ X-Y = 0 AS X =Y SO CANCELLING X-Y TERMS WE IMPLY 0/0 WHICH IS INDETERMINATE
PROBLEM 2 xm = xn m = n That is all we know, but as per above law… 10 = 11 = 12 = 13 = 14 = …= 1n 0=1=2=3=4=5=n (-1)0 = (-1)2 = (-1)4 = (-1)2n 0=2=4=6=8=10=2n
HOWZZAAAAT 2 ??? WELL THE SOLUTION IS SIMPLE WE JUST CAN’T APPLY THE RULE AS IT IS BCOZ THE ACTUAL RULE IS APPLICABLE IFF X IS NOT -1,1,0,i,-i
PROBLEM 3 1 1 -1 -1 = -1 -1 1 1 = -1 1 1 -1 = = -1 1
HOWZZAAAAT 3 ??? WELL THE SOLUTION IS SIMPLE WE JUST CAN’T TAKE THE SQ ROOT AS POSITIVE WE SHOULD ALSO CONSIDER THE –VE SQROOT