用maple解方程2ab+2bc+2cd+2de-e^2=-3057944299725842ac+2bd+2ce-2de-a^2=-10570858937036782ad+2be-2ab-2ce-d^2=-6316450970317212ae-2ac-2be-2cd-b^2=-5467406632805072ad+2ae+2bc+2bd+c^2=1626797122752585只要一组解,这组解满足a^2+b^2+c^2+d^2+e^2=473051369520767
问题描述：
用maple解方程
2ab+2bc+2cd+2de-e^2=-305794429972584
2ac+2bd+2ce-2de-a^2=-1057085893703678
2ad+2be-2ab-2ce-d^2=-631645097031721
2ae-2ac-2be-2cd-b^2=-546740663280507
2ad+2ae+2bc+2bd+c^2=1626797122752585
只要一组解,这组解满足a^2+b^2+c^2+d^2+e^2=473051369520767
答
从上到下分别为(1)式,(2)式.(6)式
则(5)-(1)-(2)-(3)-(4),左=a^2+b^2+c^2+d^2+e^2,但是右不等于473051369520767(只需看个位即可),所以不存在这样一组解可以满足(6)