1.(x/4)^2+(56-x/4)^2=1002.(x/4)^2+(56-x/4)^2=1963.(x/4)^2+(56-x/4)^2=2004.10t+3t^2=2005.(92-2x)(60-x)=885乘以66.x^2+(x+1)^2=7^27.(100+x)(1000-2x)=1000乘以100乘以(1+百分之15点2)
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1.(x/4)^2+(56-x/4)^2=1002.(x/4)^2+(56-x/4)^2=1963.(x/4)^2+(56-x/4)^2=2004.10t+3t^2=2005.(92-2x)(60-x)=885乘以66.x^2+(x+1)^2=7^27.(100+x)(1000-2x)=1000乘以100乘以(1+百分之15点2)
1.(x/4)^2+(56-x/4)^2=100
2.(x/4)^2+(56-x/4)^2=196
3.(x/4)^2+(56-x/4)^2=200
4.10t+3t^2=200
5.(92-2x)(60-x)=885乘以6
6.x^2+(x+1)^2=7^2
7.(100+x)(1000-2x)=1000乘以100乘以(1+百分之15点2)
1.(x/4)^2+(56-x/4)^2=1002.(x/4)^2+(56-x/4)^2=1963.(x/4)^2+(56-x/4)^2=2004.10t+3t^2=2005.(92-2x)(60-x)=885乘以66.x^2+(x+1)^2=7^27.(100+x)(1000-2x)=1000乘以100乘以(1+百分之15点2)
(1)(X/4)^2+[(56-X)/4]^2=100
两边乘16
x^2+(56-x)^2=1600
化简
x^2+56^2+x^2-112x=1600
2x^2+3136-112x=1600
两边除2
x^2-56x+768=0
因式分解
(x-32)(x-24)=0
于是x=32或x=24
(2)(x/4)^2+[(56-x)/4]^2=196
x^2+(56-x)^2=196*16
x^2+3136-112x+x^2=3136
2x^2-112x=0
x(x-56)=0
x1=0
x2=56
(3)(X/4)^2+[(56-X)/4]^2=200
x^2/16+(56-x)^2/16=200
x^2+(56-x)^2=3200
x^2+3136-112x+x^2=3200
2x^2-112x-64=0
x^2-56x-32=0
判别式=56^2+4*32=3264
x=(56±8√51)/2=28±4√51
x=-0.5657,x=56.5657
(4)3t^2+10t-200=0;
(t+10)(3t-20)=0;
t= -10 或 20/3
(5)原式=92x60-120X-92X+2X^=5310
2X^-212X+210=0
X^-106X+105=0
(X-105)(X-1)=0
(6)x^2+(x+1)^2=7^2
2x^2+2x-48=0
x^2+x-24=0
x=(-1±√97)/2
(7)(1000-2x)(100+x)=100(1+15.2%)*1000
-2x^2+800x+100000=115200
2x^2-800x+15200=0
x^2-400x+7600=0
(x-20)(x-380)=0
x1=20,x2=380