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WxMaxima解方程导出复数?

我在试着解“u”的方程"eq“。我如何告诉maxima我只想要积极的结果,这是最好的方法var : abs(mu), res;吗?但是,我的主要问题是,结果包含%i,这是从哪里来的?难道不应该像我在“手工”-calculation中演示的那样,在R中解决这个问题,而不需要复杂的数字吗?

算术解决方案:

(%i16)  eq: RN^2 = R^2+N^2;
(eq)    (121*G^2*h2^2*t1^2)/(100*h1^2*t2^2)=(G^2*v^2)/(4*mu^2)+G^2/4
(%i20)  res: solve(eq,mu); var : abs(mu), res; expand(var); res, numer;
(res)   [mu=-(5*%i*h1*t2*v)/sqrt(25*h1^2*t2^2-121*h2^2*t1^2),mu=(5*%i*h1*t2*v)/sqrt(25*h1^2*t2^2-121*h2^2*t1^2)]
(var)   5*abs(h1)*abs(t2)*abs(1/sqrt(25*h1^2*t2^2-121*h2^2*t1^2))*abs(v)
(%o19)  5*abs(h1)*abs(t2)*abs(1/sqrt(25*h1^2*t2^2-121*h2^2*t1^2))*abs(v)
(%o20)  [mu=-(5*%i*h1*t2*v)/(25*h1^2*t2^2-121*h2^2*t1^2)^0.5,mu=(5*%i*h1*t2*v)/(25*h1^2*t2^2-121*h2^2*t1^2)^0.5]

数值解决方案:

(%i26)  t1: 64`mm;
    t2: 33`mm;
    h1: 47`mm;
    h2: 28`mm;
    v: 2;
(t1)    64 ` mm
(t2)    33 ` mm
(h1)    47 ` mm
(h2)    28 ` mm
(v) 2
(%i42)  res: solve(eq,mu); var : abs(mu), res; var, numer; res, numer;
(res)   [mu=-(5*%i*h1*t2*v)/sqrt(25*h1^2*t2^2-121*h2^2*t1^2),mu=(5*%i*h1*t2*v)/sqrt(25*h1^2*t2^2-121*h2^2*t1^2)]
(var)   1410/sqrt(2714239)
(%o41)  0.8558449047226222
(%o42)  [mu=-(0.8558449047226222*%i)/(-1)^0.5,mu=(0.8558449047226222*%i)/(-1)^0.5]

手工解算(省略否定结果):https://www.bilder-upload.eu/bild-07c372-1620053087.png.html

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