Question

a,b satisfies the equation

Answer 1

\[a^3-3a^2+5a-17=0\]
\[b^3-3b^2+5b+11=0\]
find\[a+b\]

Answer 2

\[a^3+b^3=(a+b)(a^2-ab+b^2)\]
-3(a^2+b^2)-5(a+b)\[-3(a^2+b^2)-5(a+b)+6=(a+b)(a^2-ab+b^2)\]
\[a+b=\frac{ -3(a^2+b^2) -5(a+b)+6}{ a^2-ab+b^2}\]
is that correct

Answer 3

a+b is a real number

Answer 4

Well yeah it's correct.. :)

Answer 5

but it has to be a number

Answer 6

You mean the answer.. ?

Answer 7

yes