+52 In this multi-part problem, we will consider this system of simultaneous equations:
3x+5y-6z =2,
5xy-10yz-6xz = -41,
xyz = 6.
Let a=3x, b=5y and c=-6z .
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(A) Determine the monic cubic polynomial in terms of a variable t whose roots are ,t=a, t=b, and t=c.
The answer to A is t^3 - 2 t^2 - 123 t + 540 so I only need help with B
(B0 Given that (x,y,z) is a solution to the original system of equations, determine all distinct possible values of x+y.
