Advanced Math/Two variable equations in Maths
a+b = 5
(a^b)+(b^a) = 17
ANS. a=2, b=3
ANSWER: You sent me a problem and the answer, what it is that you want?
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QUESTION: I want the solution without hit & trial method.
Thanks in Advance.
I don't believe there is any way to get a closed form for the answer. For example a simpler problem is to just solve an equation like a^a=17. You might find the article here interesting:
In your problem you are intersecting a line with a strange curve, there's no reason to expect a "nice" answer for a and b.