If 2x3-3x2-5x-6-0 has roots - - - - - then find - - - - - - - and -

Using relation between roots and coefficients, we get α +β +γ = 3/2 αβ +βγ +γα =5/2 αβγ = 6/2= 3 ...

You visited us 5 times! Enjoying our articles? Unlock Full Access!

Roots of a Quadratic Equation

If 2x3+3x2+...

Question

If $2 x^{3} + 3 x^{2} + 5 x + 6 = 0$ has roots $α, β, γ$ then find $α + β + γ, α β + β γ + γ α$ and $α β γ$

Open in App

Solution

Suggest Corrections

Similar questions

x^{3} - x^{2} + 5 x - 1 = 0

α, β, γ

x^{3} + a x^{2} + b x + c = 0

α β, β γ, γ α

(a + b + c)

α, β, γ

x^{3} + 3 x^{2} - x - 2

α + β + γ, α β + β γ + γ α

α β γ

α, β, γ

x^{3} + p x^{2} + q x + r = 0

α (β + γ), β (γ + α), γ (α + β)

Join BYJU'S Learning Program