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X³ - 53 x - 42 = 0

solutions can be obtained using standard formulae

x = -6.84579

Cubic equation / cubic polynomial : x³ - 3 p x - 2 q = 0

Solution is given by:

Or, by:

By substituting p = 53/3 and q = 21 we get:

This formula yields in complex numbers. A little difficult to solve. we have to represent complex numbers in polar form and then take cube roots and add the two cube roots.

P = 53/3 and q = 21: so

These are the three roots of the given polynomial.

solutions can be obtained using standard formulae

x = -6.84579

Cubic equation / cubic polynomial : x³ - 3 p x - 2 q = 0

Solution is given by:

Or, by:

By substituting p = 53/3 and q = 21 we get:

This formula yields in complex numbers. A little difficult to solve. we have to represent complex numbers in polar form and then take cube roots and add the two cube roots.

P = 53/3 and q = 21: so

These are the three roots of the given polynomial.