Answer to Question #45754 in Algebra for sapna

Question

) If the sum of the roots of a cubic equation is 3, the sumof the squares of the roots is 11 and the
sum of the cubes of the roots is 27, find the equation. Also, solve the equation and find all its
roots. (4)
b) Solve the equation 0 1 x2 x2 x
2 3
= − − + using Cardano’s method. (4)
c) Write the systems obtained in 6(a) and 6(b) in matrix form. (2)