Use the fourth degree equation ax^4 + bx^3 + cx^2 + dx + e = 0 whose roots are A,B,C,D to verify that
1) the equation P(x/m) = 0 has roots m times those of P(x) = 0.
Thank you.
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Use the fourth degree equation ax^4 + bx^3 + cx^2 + dx + e = 0 whose roots are A,B,C,D to verify that
1) the equation P(x/m) = 0 has roots m times those of P(x) = 0.
Thank you.
Let x be a root of P(x)=0, put y=mx, then P(y/m)=P(x)=0, so mx is a root of P(x/m).Quote:
Originally Posted by noobonastick
CB
sorry I dont understand the logic... can you elaborate?Quote:
Originally Posted by CaptainBlack
I have shown that if x is a root of P(x), then mx is a root of P(x/m).Quote:
Originally Posted by noobonastick
What else do you need?
(note implicit assumption that m != 0)
CB