Read the following calculations:
a=ba×a=a×ba2=aba2+a2=a2+ab2a2=a2+ab2a2−2ab=a2+ab−2ab2a2−2ab=a2−ab2a2−2ab=1a2−1ab2(a2−ab)=1(a2−ab)2=1
Can you spot the miscalculation ?
For those who haven't understood, the miscalculation is on the penultimate line :
Since a²=ab, a²-ab=0;
And in the 9th line, I divided each side by a²-ab, so I divided by 0; and as you must now, the division by 0 is impossible.
a=b
axa=axb
a^2=ab
a^2+a^2=a^2+ab
a^4=a^2+ab
2a^2-2ab=a^2-ab
2a^2-2ab=1a^2-1ab
the correct answer is to this part is: 2a^2-2ab=a^2-ab
so the final answer is a=square root of ab
For those who haven't understood, the miscalculation is on the penultimate line :
Since a²=ab, a²-ab=0;
And in the 9th line, I divided each side by a²-ab, so I divided by 0; and as you must now, the division by 0 is impossible.