If - and - are the roots of 3x2 - 5x - 2 - 0- then find the value of - - -

α, β are roots of 3x^2 5x + 2 = 0 α + β = ba = 53 a = 3, b = 5, c = 2 αβ = ca = 23 αβ + βα = α^2 + β^2αβ = (α + β)^2 2αβαβ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Relation between Roots and Coefficients for Quadratic

If α and ...

Question

If $α$ and $β$ are the roots of $3 x^{2} - 5 x + 2 = 0$ , then find the value of $\frac{α}{β} + \frac{β}{α}$

Open in App

Solution

Suggest Corrections

Similar questions

α

β

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

\frac{α}{β} + \frac{β}{α}

If α, β and γ are the roots of the equation $x^{3}$ - 3 $x^{2}$ + 5x - 9 = 0 then the value of the expression

( α + β - γ) ( β + γ -α) (γ + α - β).

{2 x}^{3} + {3 x}^{2} + 5 x + 6 = 0

α, β, γ

α + β + γ, α, β + β γ + γ α

α β γ

α, β, γ

x^{3} + 3 x^{2} + 2 = 0

\frac{α}{β + γ}, \frac{β}{γ + α}, \frac{γ}{α + β}

α, β

x^{2} - p x + q = 0

α^{'}, β^{'}

x^{2} - p^{'} x + q^{'} = 0,

{(α - α^{'})}^{2} + {(β - α)}^{2} + {(α - β^{'})}^{2} + {(β - β^{'})}^{2}

Join BYJU'S Learning Program