SOLUTION: given that the roots of the quadratic aquation ax^+bx+c are beta and nbeta show that (n+1)^ac=nb^
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Question 348701: given that the roots of the quadratic aquation ax^+bx+c are beta and nbeta show that (n+1)^ac=nb^
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
1. You don't have quadratic equation. You have a quadratic trinomial. It can't be a quadratic equation because you haven't set it equal to anything.
2. You are apparently laboring under the misapprehension that the caret mark following a symbol means to square the thing previous to the caret mark. Not so. The caret mark means to raise the thing preceding the caret to the power of the symbol that follows the caret. So:
b^2 means 
b^n means 
Whereas
b^ doesn't mean anything at all.
2. I am presuming that you mean to say the roots of the quadratic equation
are 
and 
and that 
Given that, you can say:
(x\ -\ n\beta)\ =\ 0)
\beta\ +\ n\beta^2\ =\ ax^2\ +\ bx\ +\ c)
Therefore,
,
)
,
and 
I don't know what you were trying to render, so I can't go much beyond this point.
John
My calculator said it, I believe it, that settles it
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