And here’s how:
-1 = -1
-1/1 = -1/1
-1/1 = 1/-1
Take the square root of both sides.
sqrt(-1/1) = sqrt(1/-1)
i/1 = 1/i
i = 1/i
i^2 = 1
-1 = 1
Ok, I know. I just did 2=1. This one is a little harder to spot, though.
Edit: LahDsai found the error, congrats. I should have 1/i^2 after multiplying by i on both sides.
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Nope. You can't solve for "i" in the system of equations that you've set up. Since the value of i can either be 1 or -1. -1/1= 1/-1. -1=1/-1 Square either -1 or 1...and you get 1. So you cannot make the last statement. Because all you can determine is that your variable has an absolute value of 1....but you can't solve for whether its a positive or a negative.