这个方程还真有点不好解 我是用数学工具软件matlab帮你求解了下
很惋惜没有实根
%by dynamic
%2009.2.8
%
>> solve('16*x^2-4*sqrt(25-x)-33')%下面是解析解 够长的吧 不要紧 下面我将它化为小数了
ans =
25-(1/12*3^(1/2)*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)-1/12*(-(-2400*(63762454+6*i*329707743^(1/2))^(1/3)*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)+3*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)*(63762454+6*i*329707743^(1/2))^(2/3)+478812*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)-36*3^(1/2)*(63762454+6*i*329707743^(1/2))^(1/3))/(63762454+6*i*329707743^(1/2))^(1/3)/((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2))^(1/2))^2
25-(1/12*3^(1/2)*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)+1/12*3^(1/2)*((800*(63762454+6*i*329707743^(1/2))^(1/3)*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)-((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)*(63762454+6*i*329707743^(1/2))^(2/3)-159604*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)+12*3^(1/2)*(63762454+6*i*329707743^(1/2))^(1/3))/(63762454+6*i*329707743^(1/2))^(1/3)/((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2))^(1/2))^2
>> vpa(ans)
ans =
1.807337550327624428862368407318-.12798359580681902804155239352874e-31*i
-1.832347876961154512012535540154+.20697423519881333019934169416040e-31*i
>> vpa(ans,3)%可以看到没有实根
ans =
1.81-.128e-31*i
-1.83+.207e-31*i 这个方程还真有点不好解 我是用数学工具软件matlab帮你求解了下
很惋惜没有实根
%by dynamic
%2009.2.8
%
>> solve('16*x^2-4*sqrt(25-x)-33')%下面是解析解 够长的吧 不要紧 下面我将它化为小数了
ans =
25-(1/12*3^(1/2)*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)-1/12*(-(-2400*(63762454+6*i*329707743^(1/2))^(1/3)*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)+3*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)*(63762454+6*i*329707743^(1/2))^(2/3)+478812*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)-36*3^(1/2)*(63762454+6*i*329707743^(1/2))^(1/3))/(63762454+6*i*329707743^(1/2))^(1/3)/((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2))^(1/2))^2
25-(1/12*3^(1/2)*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)+1/12*3^(1/2)*((800*(63762454+6*i*329707743^(1/2))^(1/3)*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)-((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)*(63762454+6*i*329707743^(1/2))^(2/3)-159604*((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2)+12*3^(1/2)*(63762454+6*i*329707743^(1/2))^(1/3))/(63762454+6*i*329707743^(1/2))^(1/3)/((400*(63762454+6*i*329707743^(1/2))^(1/3)+(63762454+6*i*329707743^(1/2))^(2/3)+159604)/(63762454+6*i*329707743^(1/2))^(1/3))^(1/2))^(1/2))^2
>> vpa(ans)
ans =
1.807337550327624428862368407318-.12798359580681902804155239352874e-31*i
-1.832347876961154512012535540154+.20697423519881333019934169416040e-31*i
>> vpa(ans,3)%可以看到没有实根
ans =
1.81-.128e-31*i
-1.83+.207e-31*i