Let P-x-x-3-3ax-2-3bx-c and P-x-0 only for x- then- - is also root of equation- -1- x-2-2bx-a-0 -2- ax-2-2bx-c-0 -3- ax-2-bx-c-0 -4- ax-2-bx-1-0

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

Special Integrals - 2

Let P(x)=x^3+...

Question

{ Let }P(x)=x^3+3ax^2+3bx+c and }P(x)=0} only for }x=α then; }α is also root of equation: } (1) }x^2+2bx+a=0 (2) }ax^2+2bx+c=0 (3) }ax^2+bx+c=0 (4) }ax^2+bx+1=0

Open in App

Solution

Suggest Corrections

Similar questions

α

β

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

α, β, γ

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

α, β

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

α + δ

β δ

A x^{2} + 2 B x + C = 0

α

β

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

1 < α < β

lim x \to m \frac{| a x^{2} + b x + c |}{a x^{2} + b x + c} = 1

$I f α, β, γ a r e r o o t s e q u a t i o n x^{3} + a x^{2} + b x + c = 0, t h e n α^{- 1} + β^{- 1} + γ^{- 1} =$

a x^{2} + 2 (a + b) x + (a + 2 b + c) = 0

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

Join BYJU'S Learning Program