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小木虫论坛-学术科研互动平台 » 计算模拟区 » 程序语言 » MATLAB/Mathematica » 求解方程
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新虫 (初入文坛)

[交流] 求解方程 已有2人参与

(x+z-g)^2*(0.5*x-y)*(1-x-y)^(-2)*(2+0.5*x+z)^(-1)-0.02=0

我想把这个式子解为 x=......（即用y,z,g表示x）
但是我用MATLAB解出来是下面这个样子：

警告: The solutions are valid under the following conditions: 2*z + 100*g^2*y + 100*z2^2*(g + (51*y)/50 - (49*z)/50 + 1/50) + 100*y*z^2 +
2*y^2*z + 4*y^2 + 4 == 8*y + 4*y*z + 100*z2*(z/25 - (3*y)/50 + 2*g*y - g*z - (51*y*z)/25 + g^2/2 - y^2/100 + z^2/2 + 7/100) + 49*z2^3 +
200*g*y*z & y + z2 ~= 1 & 0 < z2.

x =

z2


十分不理解这段话的意思，大神可否帮忙解释一下？
另，我的这个式子应该怎么解决呢?
十分感谢
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1楼 2017-11-21 16:26:48
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jackysj

新虫 (著名写手)
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jjdg: 金币+1, 感谢参与 2017-11-21 23:45:18
引用回帖:
2楼: Originally posted by jackysj at 2017-11-21 16:36:47
你不会直接把公式输进去了吧？

令x=a1*y+a2*z+a3*g，然后求a1,a2,a3，是否可行？

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3楼2017-11-21 16:39:20
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jackysj

新虫 (著名写手)
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小木虫: 金币+0.5, 给个红包，谢谢回帖
你不会直接把公式输进去了吧？

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2楼2017-11-21 16:36:47
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月只蓝

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jjdg: 金币+3, 辛苦了 2017-11-21 23:45:31
如果非要求解析解。
两个解，仅供参考：
第一个：
x=
0.6802721088e-2*(-1.53150*10^5*g-4.12875*10^5*y+2.13150*10^5*z+1.26575*10^5-1.02500*10^5*g^3+1.083699*10^6*y^3+1.39258*10^5*z^3+3.45450*10^5*g^2*z-1.354950*10^6*g*y^2-3.82200*10^5*z^2*g+1.66500*10^5*g*y-1.411200*10^6*g*y*z+1.22010*10^5*z^2-1.61700*10^5*z*g+37950.*g^2+3.27465*10^5*y^2+7.66800*10^5*g^2*y+6.47388*10^5*y*z^2+1.572606*10^6*y^2*z-3.79260*10^5*y*z+735.*sqrt(1.29744*10^5*y^5*z-1.61316*10^5*y^3*z^3-6.87600*10^5*g^3*y*z+1.379952*10^6*g^2*y*z^2-1.32516*10^5*g^2*y^2*z-1.63488*10^5*g*y*z^4-1.098288*10^6*g*y*z^3+1.13952*10^5*g*y^3*z^2-74100.*g+98400.*g^4-57600.*g^3-15000.*g^6-30000.*g^5+14700.*z^6+90552.*z^5-318.*y^6+31650.-34416.*g^2*y^2*z^2+37800.*g^3*y^2*z+21252.*g*y^4*z-40680.*g*y^2*z^3-3.12324*10^5*g^2*y^3+11880.*g*y*z+6.49152*10^5*g^2*z^3+3.61524*10^5*y*z^3+1.568328*10^6*y^2*z^2-5.43384*10^5*z^3*g-7.51968*10^5*y^3*z+7.22040*10^5*g^2*z^2+6.00168*10^5*g*y^3-4.31400*10^5*g^3*z+4.90560*10^5*g^2*y^2+3.05736*10^5*y*z^4-8.42292*10^5*y^3*z^2-5.20320*10^5*y^4*z-5.33400*10^5*g^3*y+1.613184*10^6*y^2*z-5.76240*10^5*y*z-1.72500*10^5*z*g+2.03700*10^5*g^2*y-2.67708*10^5*y*z^2+2.32500*10^5*g^2*z-3.13080*10^5*z^2*g-1.162920*10^6*g*y^2+3.70500*10^5*g*y-5.13432*10^5*g*y^2*z^2+1.039800*10^6*g*y^3*z-1.938768*10^6*g*y^2*z+1.545060*10^6*g^2*y*z-1.13400*10^5*g^3*y^3+2.05800*10^5*g^4*z+1.95600*10^5*g^3*y^2-5.28000*10^5*g^3*z^2-2.01000*10^5*y+1.05600*10^5*z+1.38132*10^5*z^3+1.33590*10^5*z^2+4.16910*10^5*y^2+1.00200*10^5*g^4*y+1.27764*10^5*g*y^5+1.38588*10^5*g*y^4-3.87504*10^5*z^4*g+5.16312*10^5*y^5+1.54344*10^5*z^4-9.21810*10^5*y^4+1.58256*10^5*y^3+4.50012*10^5*y^2*z^3+51744.*y*z^5+73200.*g^2*z^4+90582.*g^2*y^4+60000.*g^5*y+60000.*g^5*z-900.*g^4*y^2-75300.*g^4*z^2+1200.*g^3*z^3-58800.*z^5*g+38196.*y^2*z^4-72750.*y^4*z^2+46650.*g^2-1.71600*10^5*g^4*y*z+1.60908*10^5*g^2*y^3*z+1.03200*10^5*g^3*y*z^2+1.20144*10^5*g^2*y*z^3-1.372944*10^6*g*y*z^2))^(1/3)-(147.*(-.1226340876*g^2+.4164931279*g*y+.2267573696*z*g-.4882687769*y^2-.4625850340*y*z-.1043083900*z^2-0.5969734833e-1*y+0.4535147392e-1*z+0.4743393956e-1-0.1851080568e-1*g))/(-1.53150*10^5*g-4.12875*10^5*y+2.13150*10^5*z+1.26575*10^5-1.02500*10^5*g^3+1.083699*10^6*y^3+1.39258*10^5*z^3+3.45450*10^5*g^2*z-1.354950*10^6*g*y^2-3.82200*10^5*z^2*g+1.66500*10^5*g*y-1.411200*10^6*g*y*z+1.22010*10^5*z^2-1.61700*10^5*z*g+37950.*g^2+3.27465*10^5*y^2+7.66800*10^5*g^2*y+6.47388*10^5*y*z^2+1.572606*10^6*y^2*z-3.79260*10^5*y*z+735.*sqrt(1.29744*10^5*y^5*z-1.61316*10^5*y^3*z^3-6.87600*10^5*g^3*y*z+1.379952*10^6*g^2*y*z^2-1.32516*10^5*g^2*y^2*z-1.63488*10^5*g*y*z^4-1.098288*10^6*g*y*z^3+1.13952*10^5*g*y^3*z^2-74100.*g+98400.*g^4-57600.*g^3-15000.*g^6-30000.*g^5+14700.*z^6+90552.*z^5-318.*y^6+31650.-34416.*g^2*y^2*z^2+37800.*g^3*y^2*z+21252.*g*y^4*z-40680.*g*y^2*z^3-3.12324*10^5*g^2*y^3+11880.*g*y*z+6.49152*10^5*g^2*z^3+3.61524*10^5*y*z^3+1.568328*10^6*y^2*z^2-5.43384*10^5*z^3*g-7.51968*10^5*y^3*z+7.22040*10^5*g^2*z^2+6.00168*10^5*g*y^3-4.31400*10^5*g^3*z+4.90560*10^5*g^2*y^2+3.05736*10^5*y*z^4-8.42292*10^5*y^3*z^2-5.20320*10^5*y^4*z-5.33400*10^5*g^3*y+1.613184*10^6*y^2*z-5.76240*10^5*y*z-1.72500*10^5*z*g+2.03700*10^5*g^2*y-2.67708*10^5*y*z^2+2.32500*10^5*g^2*z-3.13080*10^5*z^2*g-1.162920*10^6*g*y^2+3.70500*10^5*g*y-5.13432*10^5*g*y^2*z^2+1.039800*10^6*g*y^3*z-1.938768*10^6*g*y^2*z+1.545060*10^6*g^2*y*z-1.13400*10^5*g^3*y^3+2.05800*10^5*g^4*z+1.95600*10^5*g^3*y^2-5.28000*10^5*g^3*z^2-2.01000*10^5*y+1.05600*10^5*z+1.38132*10^5*z^3+1.33590*10^5*z^2+4.16910*10^5*y^2+1.00200*10^5*g^4*y+1.27764*10^5*g*y^5+1.38588*10^5*g*y^4-3.87504*10^5*z^4*g+5.16312*10^5*y^5+1.54344*10^5*z^4-9.21810*10^5*y^4+1.58256*10^5*y^3+4.50012*10^5*y^2*z^3+51744.*y*z^5+73200.*g^2*z^4+90582.*g^2*y^4+60000.*g^5*y+60000.*g^5*z-900.*g^4*y^2-75300.*g^4*z^2+1200.*g^3*z^3-58800.*z^5*g+38196.*y^2*z^4-72750.*y^4*z^2+46650.*g^2-1.71600*10^5*g^4*y*z+1.60908*10^5*g^2*y^3*z+1.03200*10^5*g^3*y*z^2+1.20144*10^5*g^2*y*z^3-1.372944*10^6*g*y*z^2))^(1/3)+.6802721088*g+.6938775510*y-.6666666667*z+0.1360544218e-1;

第二个：
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18.*y^6-1.61316*10^5*y^3*z^3+1.29744*10^5*y^5*z+4.50012*10^5*y^2*z^3+1.20144*10^5*g^2*y*z^3-1.372944*10^6*g*y*z^2-5.13432*10^5*g*y^2*z^2-1.63488*10^5*g*y*z^4+1.379952*10^6*g^2*y*z^2-1.32516*10^5*g^2*y^2*z-1.71600*10^5*g^4*y*z-6.87600*10^5*g^3*y*z-2.01000*10^5*y+1.05600*10^5*z+1.60908*10^5*g^2*y^3*z+1.03200*10^5*g^3*y*z^2+1.38588*10^5*g*y^4-3.87504*10^5*z^4*g+1.27764*10^5*g*y^5+1.95600*10^5*g^3*y^2-5.28000*10^5*g^3*z^2+1.00200*10^5*g^4*y+2.05800*10^5*g^4*z-1.13400*10^5*g^3*y^3+6.49152*10^5*g^2*z^3-74100.*g-3.12324*10^5*g^2*y^3+6.00168*10^5*g*y^3+1.568328*10^6*y^2*z^2+3.61524*10^5*y*z^3+4.90560*10^5*g^2*y^2-5.43384*10^5*z^3*g-7.51968*10^5*y^3*z+3.05736*10^5*y*z^4+7.22040*10^5*g^2*z^2-5.33400*10^5*g^3*y-4.31400*10^5*g^3*z-8.42292*10^5*y^3*z^2-5.20320*10^5*y^4*z+2.03700*10^5*g^2*y-2.67708*10^5*y*z^2+1.613184*10^6*y^2*z))^(1/3)+(147.*(-.1226340876*g^2+.4164931279*g*y+.2267573696*z*g-.4882687769*y^2-.4625850340*y*z-.1043083900*z^2-0.5969734833e-1*y+0.4535147392e-1*z+0.4743393956e-1-0.1851080568e-1*g))/(-1.53150*10^5*g-4.12875*10^5*y+2.13150*10^5*z+1.26575*10^5-1.02500*10^5*g^3+1.083699*10^6*y^3+1.39258*10^5*z^3+3.45450*10^5*g^2*z-1.354950*10^6*g*y^2-3.82200*10^5*z^2*g+1.66500*10^5*g*y-1.411200*10^6*g*y*z+1.22010*10^5*z^2-1.61700*10^5*z*g+37950.*g^2+3.27465*10^5*y^2+7.66800*10^5*g^2*y+6.47388*10^5*y*z^2+1.572606*10^6*y^2*z-3.79260*10^5*y*z+735.*sqrt(2.32500*10^5*g^2*z-1.162920*10^6*g*y^2-3.13080*10^5*z^2*g-1.72500*10^5*z*g+3.70500*10^5*g*y-5.76240*10^5*y*z+31650.+46650.*g^2+1.545060*10^6*g^2*y*z+1.33590*10^5*z^2+51744.*y*z^5+73200.*g^2*z^4+90582.*g^2*y^4+60000.*g^5*y+60000.*g^5*z-900.*g^4*y^2-75300.*g^4*z^2+1200.*g^3*z^3-58800.*z^5*g+38196.*y^2*z^4-72750.*y^4*z^2+1.039800*10^6*g*y^3*z-1.938768*10^6*g*y^2*z+1.38132*10^5*z^3+4.16910*10^5*y^2+98400.*g^4-57600.*g^3+1.13952*10^5*g*y^3*z^2+1.58256*10^5*y^3-1.098288*10^6*g*y*z^3-9.21810*10^5*y^4-34416.*g^2*y^2*z^2+37800.*g^3*y^2*z+21252.*g*y^4*z-40680.*g*y^2*z^3+11880.*g*y*z+5.16312*10^5*y^5+1.54344*10^5*z^4-15000.*g^6-30000.*g^5+14700.*z^6+90552.*z^5-318.*y^6-1.61316*10^5*y^3*z^3+1.29744*10^5*y^5*z+4.50012*10^5*y^2*z^3+1.20144*10^5*g^2*y*z^3-1.372944*10^6*g*y*z^2-5.13432*10^5*g*y^2*z^2-1.63488*10^5*g*y*z^4+1.379952*10^6*g^2*y*z^2-1.32516*10^5*g^2*y^2*z-1.71600*10^5*g^4*y*z-6.87600*10^5*g^3*y*z-2.01000*10^5*y+1.05600*10^5*z+1.60908*10^5*g^2*y^3*z+1.03200*10^5*g^3*y*z^2+1.38588*10^5*g*y^4-3.87504*10^5*z^4*g+1.27764*10^5*g*y^5+1.95600*10^5*g^3*y^2-5.28000*10^5*g^3*z^2+1.00200*10^5*g^4*y+2.05800*10^5*g^4*z-1.13400*10^5*g^3*y^3+6.49152*10^5*g^2*z^3-74100.*g-3.12324*10^5*g^2*y^3+6.00168*10^5*g*y^3+1.568328*10^6*y^2*z^2+3.61524*10^5*y*z^3+4.90560*10^5*g^2*y^2-5.43384*10^5*z^3*g-7.51968*10^5*y^3*z+3.05736*10^5*y*z^4+7.22040*10^5*g^2*z^2-5.33400*10^5*g^3*y-4.31400*10^5*g^3*z-8.42292*10^5*y^3*z^2-5.20320*10^5*y^4*z+2.03700*10^5*g^2*y-2.67708*10^5*y*z^2+1.613184*10^6*y^2*z))^(1/3));
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4楼2017-11-21 16:39:39
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盒子和树

新虫 (初入文坛)
引用回帖:
4楼: Originally posted by 月只蓝 at 2017-11-21 16:39:39
如果非要求解析解。
两个解，仅供参考：
第一个：
x=
0.6802721088e-2*(-1.53150*10^5*g-4.12875*10^5*y+2.13150*10^5*z+1.26575*10^5-1.02500*10^5*g^3+1.083699*10^6*y^3+1.39258*10^5*z^3+3.45450*10^5*g^2* ...

谢谢！请问这个程序应该怎么写呢？
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5楼2017-11-21 19:51:26
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