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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Originally Posted by noobonastick 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). CB
Originally Posted by CaptainBlack 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). sorry I dont understand the logic... can you elaborate?
Originally Posted by noobonastick sorry I dont understand the logic... can you elaborate? I have shown that if x is a root of P(x), then mx is a root of P(x/m). What else do you need? (note implicit assumption that m != 0) CB
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