If a,b are natural numbers such that 2013+a squared=b squared then the minimum possible value of...

...ab is?2013 + a*a= b*bthen ab is? or:...ab is?2013 + a*a= b*bthen ab is?or:A big part of math is pattern recognition. A lot of homework is just figh

...ab is?

2013 + a*a= b*b
then ab is?

or:...ab is?2013 + a*a= b*bthen ab is?


or:A big part of math is pattern recognition. A lot of homework is just fighting with stuff so you will remember the pattern when you see it again. The most common pattern is (x + a) * (x + b) = x^2 + (a + b)x + ab and the special case (x + a) * (x - a) = x^2 - a^2. When you spot the pattern you can just write the answer from memory.Now study this page until it seems obvious: en.wikipedia.org/wiki/Polynomial_remainder_theoremGiven 2013 + a^2 = b^2 we recognize a difference of squares so we can rewrite the equation:\u221a2013 \u00b1 ia = bThe i indicates \"imaginary\

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