If - - are the roots of the equation x2-x-15-0 then find -

Here a=1, b=1, c= 15 Sum of the roots =α+β= ba= 11= 1 Product of the roots =αβ=ca= 151= 15 αβ+βα =α^2+β^2αβ =(α+β)^2 2αβαβ =( ...

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

Nature of Roots

If α, β are...

Question

If $α, β$ are the roots of the equation $x^{2} + x - 15 = 0$ then find $\frac{α}{β} + \frac{β}{α}$

Open in App

Solution

Suggest Corrections

Similar questions

α, β

x^{2} + α x + β = 0

α \neq β

| | x - β | - α | < 1,

α

β

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

α^{2} + α β

β^{2} + α β

α, β

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

\frac{α}{β}

\frac{β}{α}

α

β

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

(α^{2} - β^{2}) (α^{3} - β^{3})

α^{3} β^{2} + α^{2} β^{3}

α, β

x^{2} + x + 1 = 0

(\frac{α}{β} + \frac{β}{α})

Join BYJU'S Learning Program