Tuesday, 1 October 2013

Will be there value of a,b,c such that a+b=c and true for 1/a + 1/b = 1/c?

Will be there value of a,b,c such that a+b=c and true for 1/a + 1/b = 1/c?

I have a question in my homework, but i am stuck. I am waiting for your
help guys!
Question:
"Suppose we have three real numbers a, b, and c which satisfy the equation
a + b = c; Is it then also true that 1/a + 1/b = 1/c or not?
Or is it only true for some particular choice of a, b, and c, and which
would that be?"

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