Question

Another one:

Given that all roots of the equation \( x^5 − 10x^4 + ax^3 + bx^2 + cx − 32 = 0 \) are real and positive.Find \( a+b+c \)

Answer 1

40 LOL

Answer 2

Explain.

Answer 3

from viete i got that x1*x2*x3*x4*x5=-32
so i just guess that 2 is one of the factor
and i guess by (x-2)^5 and multiply it together
and get the result
\[x^5-10x^4+40x^3-80x^2+80x-32=0\]
so a+b+c=40-80+80=40

Answer 4

could be a kind of stupid way to do lol

Answer 5

lol, yeah but you got the correct solution.

Answer 6

cool lol you have a better way?

Answer 7

May be ;), but let see how others solve it

Answer 8

wow thats totally lucky.