一元二次方程因式分解
\u6c42\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u56e0\u5f0f\u5206\u89e3!!!3X^2-12X=-12
3X^2-12X+12 =0
x^2-4x+4=0
(x-2)^2=0
x1=x2=2
3X(X -1)=2(X-1)
3X(X -1)-2(X-1)=0
(x-1)(3x-2)=0
x1=1
x2=2/5
(2X-1)^2=(3-X)^2
(2X-1)^2-(3-X)^2 =0
(2x-1+3-x)(2x-1-3+x)=0
(x+2)(3x-4)=0
x1=-2
x2=4/3
\u56de\u7b54\u8005\uff1a \u5206\u5272\u9ec4\u91d1 - \u5927\u9b54\u5bfc\u5e08 \u5341\u4e8c\u7ea7 5-24 16:54
\uff081\uff093X^2-12x+12=0
3(x-2)(x-2)=0
x1=x2=2
(2)3x(x-1)-2(x-1)=0
(3x-2)(x-1)=0
x1=2/3 x2=1
(3)(2x-1)^2-(3-x)^2=0
(2x-1+3-x)(2x-1-(3-x))=0
x1=-2 x2=4/3
1.x^3-6x^2+12x-8\uff1b
=(x-2)(x^2+x+4)-6(x-2)
=(x-2)(x^2+x-2)
2.(x^2+y^2)^2-4x^2y^2\uff1b
=x^4+2x^2y^2+y^4-4x^2y^2
=x^4++y^4-2x^2y^2
=(x^2-y^2)^2
3.6x^2+7x+2\uff1b
=(2x+1)(3x+2)
4.x^4-6x^2+8\uff1b
=(x^2-2)(x^2-4)
=(x+\u6839\u53f72)(x-\u6839\u53f72)\uff08x+2)(x-2)
5.x^2-(4a-1)+3a^2-a\uff1b
=(x-a)[x-(3a-1)]
6.ab-1+a-b\uff1b
=\uff08ab-b\uff09+\uff08a-1\uff09
=(a-1)(b+1)
7.6x^n+1-14x^n+8x^n-1\uff1b
=x^(n-1)[(6x-8)(x-1)]
8.(x^2+3x)^2-2(x^2+3x)-8\uff1b
=[(x^2+3)+2][(x^2+3)-4]
=(x+1)(x+2)(x-1)(x+4)
9.a^2+b^2-2ab-2b+2a+1\uff1b
=(a-b)^2+2(a-b)+1
=[(a-b)+1]^2
10.ax^2+3x-2=ax+x^2(a\u22601)\uff0c
\u79fb\u9879\u6574\u7406\u5f97\u3002\uff08a-1\uff09x^2+(3-a)x-2=0
[(a-1)x-2](x+1)=0
11.abx^2-a^2x=b^2x-ab(ab\u22600)
\u79fb\u9879\u3002\u5f97abx^2-(a^2+b^2)x+ab=0
(ax-b)(bx-a)=0
\u4e8c\u3001\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u6839\u7684\u5224\u522b\u5f0f\u4e0e\u97e6\u8fbe\u5b9a\u7406
1.\u5229\u7528\u8ddf\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb\uff0c\u6c42\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b2x^2+3x-1=0\u4e24\u6839\u7684\u5e73\u65b9\u548c\uff0c\u5012\u6570\u548c
\u65b9\u7a0b\u4e24\u6839\u4e3ax1,x2. x1+x2=-3/2 x1x2=-1/2
x1^2+x2^2=(x1+x2)^2-2x1x2=9/4+1=13/4
1/x1+1/x2=(x1^2+x^2)/x1x2=(13/4)*(-2)=-13/2
2.\u5f53a^2\uff1c4b\u65f6\uff0c\u5173\u4e8ex\u7684\u65b9\u7a0bx^2-ax+b=0\u7684\u5b9e\u6839\u60c5\u51b5
a^2\uff1c4b,\u5373a^2-4b<0.\u65b9\u7a0b\u6ca1\u6709\u5b9e\u6839\u3002
3.\u5df2\u77e5\u5173\u4e8ex\u7684\u65b9\u7a0bx^2+(2m+1)x+(m-2)^2=0,m\u53d6\u4ec0\u4e48\u503c
\uff081\uff09\u65b9\u7a0b\u6709\u4e24\u4e2a\u4e0d\u60f3\u7b49\u7684\u5b9e\u6839
\uff082\uff09\u65b9\u7a0b\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6839
\uff083\uff09\u65b9\u7a0b\u6ca1\u6709\u5b9e\u6839
\u89e3\uff1a\uff082m+1\uff09^2-4(m-2)^2=(4m^2+4m+1)-(4m^2-16m+16)=20m-15
(1)\u5f5320m-15>0.\u5373m>3/4\u65f6\uff0c\u65b9\u7a0b\u6709\u4e24\u4e2a\u4e0d\u60f3\u7b49\u7684\u5b9e\u6839
(2)\u5f5320m-15=0.\u5373m=3/4\u65f6\uff0c\u65b9\u7a0b\u6709\u4e24\u4e2a\u60f3\u7b49\u7684\u5b9e\u6839
(3)\u5f5320m-15<0.\u5373m<3/4\u65f6\uff0c\u65b9\u7a0b\u6ca1\u6709\u5b9e\u6839
⌈x-(50-10√5) ⌉[x-(50+10√5) ]=0
x=50+10√5 或50-10√5
x^2-45x-650=0
[x-(45-5√185) ][x-(45+5√185) ]=0
x=45+5√185 或45-5√185
其实只是根的公式应用而已，加油：）
⒈x^2－100x=－2000 x^2－100x+50^2=500 (x－50)^2=500 x－50=±√500 x1=10√5+50 x2=50－10√5 下面一道你按这种方式解答吧！我就不多说了
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