Question

if a and b are the roots of ax^2 + bx + c =0 then the value of a^3 + b^3/(a^2 + b^2)=?

Answer 1

nice question wait

Answer 2

just notice
\[a^2+b^2=(a+b)^2-2ab \ \ \ and \\ a^3+b^3=(a+b)(a^2+b^2-ab)=((a+b)^2-3ab)\]

Answer 3

nice hint @mukushla
@Yahoo! do you know the relation between coefficients of a quadratic and its roots?

Answer 4

a+b = -b/a

Answer 5

ab = c/a

Answer 6

Good :)
Could you use the hints given by @mukushla to find your answer?

Answer 7

got it thxxxxx

Answer 8

@Yahoo! @mukushla deserves the medal, I don't ;)