a,b,c are 3 real nos. Prove that the 3 numbers a^2+b+c, b^2+a+c, c^2+a+b cannot be perfect squares altogether.
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a,b,c are 3 real nos. Prove that the 3 numbers a^2+b+c, b^2+a+c, c^2+a+b cannot be perfect squares altogether.
can you explain what you mean a little more? like, what do you mean by altogether?
I believe he means "cannot all be perfect squares".
geniusgarvil seems to have a "genius" for posting problems that are "amazing" only because they are wrong. In this case,
have.
a = b = c = 0. 0 is a perfect square. Hmm.Quote:
Originally Posted by geniusgarvil