Question

Given the equation x2 - 3x + m = 0. The sum of cubeof its roots is 189. Find the value of m!

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Answer 1

X^2-3x+m=0
A=1; B=-3; C=m
x1+x2=-B/A=3
x1*x2=C/A=m
x1^3+x2^3=(x1+x2)^3-3x1*x2(x1+x2)
               =(3)^3-3(m)(3)
          189=27-9m
           9m=-162
             m=-18