y²-3y=0怎么凑成完全平方公式？ 完全平方公式
\u82e5x²-8xy+16y²=0\uff0c\u4e14x=5\uff0c\u5219\uff082x-3y\uff09²\u60a8\u597d\uff1a
\u8fd9\u662f\u6b63\u786e\u7684
\u89e3\uff1a
x²-8xy+16y²=0
(x-4y)²=0
x-4y=0
5-4y=0
4y=5
y=5/4
\uff082x-3y\uff09²
=\uff0810-15/4\uff09²
=(25/4)²
=625/16
\u5982\u679c\u672c\u9898\u6709\u4ec0\u4e48\u4e0d\u660e\u767d\u53ef\u4ee5\u8ffd\u95ee\uff0c
\u5982\u679c\u6ee1\u610f\u8bf7\u70b9\u51fb\u201c\u9009\u4e3a\u6ee1\u610f\u7b54\u6848\u201d
\u5982\u679c\u6709\u5176\u4ed6\u95ee\u9898\u8bf7\u91c7\u7eb3\u672c\u9898\u540e\u53e6\u53d1\u70b9\u51fb\u5411\u6211\u6c42\u52a9\uff0c
\u7b54\u9898\u4e0d\u6613\uff0c\u8bf7\u7406\u89e3\uff0c\u8c22\u8c22\u3002\u795d\u5b66\u4e60\u8fdb\u6b65\uff01
\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u5373(a+b)²=a²+2ab+b²\u3001(a-b)²=a²-2ab+b²\u3002\u8be5\u516c\u5f0f\u662f\u8fdb\u884c\u4ee3\u6570\u8fd0\u7b97\u4e0e\u53d8\u5f62\u7684\u91cd\u8981\u7684\u77e5\u8bc6\u57fa\u7840\uff0c\u662f\u56e0\u5f0f\u5206\u89e3\u4e2d\u5e38\u7528\u5230\u7684\u516c\u5f0f\u3002\u8be5\u77e5\u8bc6\u70b9\u91cd\u70b9\u662f\u5bf9\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u7684\u719f\u8bb0\u53ca\u5e94\u7528\u3002\u96be\u70b9\u662f\u5bf9\u516c\u5f0f\u7279\u5f81\u7684\u7406\u89e3(\u5982\u5bf9\u516c\u5f0f\u4e2d\u79ef\u7684\u4e00\u6b21\u9879\u7cfb\u6570\u7684\u7406\u89e3\u7b49\uff09\u3002\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\uff1a
\u4e24\u6570\u548c\u7684\u5e73\u65b9\uff0c\u7b49\u4e8e\u5b83\u4eec\u7684\u5e73\u65b9\u548c\u52a0\u4e0a\u5b83\u4eec\u7684\u79ef\u76842\u500d\u3002
\uff08a+b\uff09²=a²\ufe622ab+b²
\u4e24\u6570\u5dee\u7684\u5e73\u65b9\uff0c\u7b49\u4e8e\u5b83\u4eec\u7684\u5e73\u65b9\u548c\u51cf\u53bb\u5b83\u4eec\u7684\u79ef\u76842\u500d\u3002
\ufe59a\uff0db\ufe5a²=a²\ufe632ab+b²
q²-2q+1=0\u5316\u4e3aq²-2xqx1+1²=0\uff0c\uff08q\u20131\uff09²\uff1d0\uff0c
凑完全平方式需要加上9/4即可，最后再减去9/4。
两边同时加上9/4，左边就变成了（y-3/2）的平方，右边就是9/4。
y^2-3y=y^2-2*1.5y+1.5^2-1.5^2=（y-1.5）^2-2.25
y²-3y+(3/2)²=(3/2)²
（y-3/2）²=（3/2）²
y-3/2=3/2或y-3/2=-3/2
y=3或y=0
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