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  • matlab中計算四次方方程a*x^4+b*x+c=0的實數(shù)根.

    matlab中計算四次方方程a*x^4+b*x+c=0的實數(shù)根.
    我是想計算a*x^4+b*x+c=0的x根,但是a、b、c是需要計算的,我想問下在matlab里如何計算呢?我只要那個正實數(shù)根,其他的都不要.在百度上看到你回答類似的問題,但是不是很明白.
    數(shù)學(xué)人氣:565 ℃時間:2020-02-03 05:34:47
    優(yōu)質(zhì)解答
    syms a x b c
    y = a*x^4+b*x+c;
    Y = solve(y, 'x')
    結(jié)果如下:
    ans =

    1/12*6^(1/2)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)+1/12*(-(6*12^(1/3)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)*((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+24*12^(2/3)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)*c*a+72*b*6^(1/2)*((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3)/(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2))^(1/2)
    1/12*6^(1/2)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)-1/12*(-(6*12^(1/3)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)*((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+24*12^(2/3)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)*c*a+72*b*6^(1/2)*((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3)/(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2))^(1/2)
    -1/12*6^(1/2)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)+1/12*(-(6*12^(1/3)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)*((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+24*12^(2/3)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)*c*a-72*b*6^(1/2)*((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3)/(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2))^(1/2)
    -1/12*6^(1/2)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)-1/12*(-(6*12^(1/3)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)*((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+24*12^(2/3)*(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2)*c*a-72*b*6^(1/2)*((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3)/(12^(1/3)*(((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(2/3)+4*c*12^(1/3)*a)/a/((9*b^2+(-768*c^3*a+81*b^4)^(1/2))*a)^(1/3))^(1/2))^(1/2)
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