系數(shù)與根之關(guān)系是什么意思詞義解釋來(lái)源:未知來(lái)源
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(Relationbetweentherootsandcoefficient)數(shù)學(xué)名詞。凡含一未知數(shù)之方程常可變形而為此為n次方故有n根命之為則有次之定理凡任一代數(shù)方程其最高項(xiàng)之系數(shù)為一時(shí)則將第二項(xiàng)之系數(shù)p1變更符號(hào)即為此方程諸根之和第三項(xiàng)之系數(shù)p2即為諸根中每取三根之積之和第四項(xiàng)系數(shù)p3變更符號(hào)即為諸根中每取三根之積之和。以此類(lèi)推至末項(xiàng)Pn即X0之系數(shù)則為n根之總乘積而其符號(hào)須視n而定故一方程之每一根皆為其絕對(duì)項(xiàng)之除數(shù)。又若方程之諸根皆為正數(shù)時(shí)則方程之系數(shù)正負(fù)相間諸根皆為負(fù)數(shù)時(shí)則其系數(shù)皆
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