继续因式分解的简单应用,急已知x^2-4x+4=02y^2+12y+18=0求代数式9x^2-12xy+4y^2的值-学生作业帮-兵器谱
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继续因式分解的简单应用,急已知x^2-4x+4=02y^2+12y+18=0求代数式9x^2-12xy+4y^2的值

来源:学生作业帮 编辑:作业帮 时间:2019/06/19 19:51:00

继续因式分解的简单应用,急
已知x^2-4x+4=0
2y^2+12y+18=0
求代数式9x^2-12xy+4y^2的值

x^2-4x+4=0
(x-2)^2=0
x=2
2y^2+12y+18=0
2(y^2+6y+9)=0
2(y+3)^2=0
y=-3
9x^2-12xy+4y^2
=(3x-2y)^2
=(6+6)^2
=144

x^2-4x+4=0
2y^2+12y+18=0
求代数式9x^2-12xy+4y^2的值
x=2,y=-3
9x^2-12xy+4y^2=144

x^2-4x+4=(x-2)^2=0
x=2
2y^2+12y+18=2(y+3)^2=0
y=-3
9x^2-12xy+4y^2=36+72+36=144

x=2
y=-3
把xy代入
原式=36+72+36=144

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