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第11頁

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解：∵?$4(1-x)2=25$?
∴?$(1-x)2=\frac {25}{4}$?
?$1-x=±\frac 52$?
∴?$x_{1}=\frac {7}{2}$?，?$x_{2}=-\frac {3}{2}$?
解：?$2x-1=±(3-x)$?
?$x_{1}=-2$?，?$x_{2}=\frac {4}{3}$?
解：?$-\frac {1}{3}(x-2)2=-\frac {3}{4}$?
?$(x-2)2=\frac {9}{4}$?
?$x-2=±\frac {3}{2}$?
?$x_{1}=\frac {7}{2}$?，?$x_{2}=\frac {1}{2}$?
解：?$x2-2x=1$?
?$x2-2x+1=1+1$?
?$(x-1)2=2$?
∴?$x-1=±\sqrt {2}$?
∴?$x_{1}=1+ \sqrt {2}$?，?$x_{2}=1-\sqrt {2}$?
解：?$x2-4x+4=4+4$?
?$(x-2)2=8$?
?$x-2=±2\sqrt 2$?
?$x_{1}=2+2\sqrt 2$?，?$x_{2}=2-2\sqrt 2$?
解：?$x2+10x=9975$?
?$x2+10x+25=9975+25$?
?$(x+5)2=10000$?
?$x+5=±100$?
?$x_{1}=95$?，?$x_{2}=-105$?
解：?$3x(4-x)+2(4-x)=0$?
?$(4-x)(3x+2)=0$?
?$x_{1}=4$?，?$x_{2}=-\frac {2}{3}$?
解：?$2(x-1)2+(x-1)=0$?
?$ (x-1)[2(x-1)+1]=0$?
?$(x-1)(2x-1)=0$?
?$x_{1}=1$?，?$x_{2}=\frac {1}{2} $?
解：原方程可化為?$(x+2)(x-2)-2(x+2)=0$?
?$(x+2)(x-2-2)=0$?
?$(x+2)(x-4)=0$?
?$x_{1}=-2$?，?$x_{2}=4$?
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