(-1)(-1) = 1 the square of -1 is 1 -1 = 1/-1 divide both sides by -1 -1/1 = 1/-1 identity operation; for all real (or complex) x, x = x/1 i/1 = 1/i take the square root of both sides (i=sqrt(-1)) i/2 = 1/2i divide both sides by two i2/2 = i/2i multiply both sides by i -1/2 = 1/2 substitute -1 for i2 and 1 for i/i -1/2 + 3/2 = 1/2 + 3/2 add 1 1/2 (3/2) to both sides 1 = 2
3rd Proof
x2 = x+x+x+...+x (x times) definition of x2; x not equal to zero 2x = 1+1+1+...+1 (x times) take derivative of both sides; derivative of xn = nxn-1 2x = x x = 1+1+1+...+1 (x times) 2 = 1 divide both sides by x (x not equal to zero)
Ah yes , Hangdog ....but when someone posts that 1 + 1 = 3 as a fact then that person is wrong , eg. , like the poster who authoritatively stated the other day that GnF would be in all Walmart stores .
Love your posts on the other board , BTW . A very balanced person .