Question

Relationship between roots of a cubic equation

Answer 1

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Answer 2

The answer is given below :

Let, any cubic equation is

ax³ + bx² + cx + d = 0

Let, α, β and γ are the roots of this equation.

Then,

α + β + γ = -b/a .....(i)

αβ + βγ + γα = c/a .....(ii)

αβγ = -d/a .....(iii)

Now, eliminating a, b, c and d, the required relation among the roots α, β and γ.

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