If -5 and - 3- 3-35- find a quadratic equation whose roots are - and -

We #160;have #160; #945;+ #946;=5 #160;and #160; #945;3+ #946;3=35= #62;( #945;+ #946;)3 3 #945; #946;( #945;+ #946;)=35= #62;(5 ...

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

Nature of Roots

If α+β=5 and ...

Question

If $α + β = 5$ and $α^{3} + β^{3} = 35,$ find a quadratic equation whose roots are $α a n d β .$

Open in App

Solution

Suggest Corrections

Similar questions

α + β = - 2

α^{3} + β^{3} = - 56

α

β

α + β = - 2

α^{3} + β^{3} = - 56

α, β

α

β

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

α^{3} + β^{3}

^{'} α^{'}

^{'} β^{'}

[α + β = - p]

[α^{3} + β^{3}] = q

\frac{α}{β}

\frac{β}{α}

p

q

α^{3} + β^{3} = - p, α β = q

\frac{α^{2}}{β}, \frac{β^{2}}{α}

Join BYJU'S Learning Program