I am trying to get the commands right in fzero solve this equation for V but can't get out of error messages. What are the correct commands?

Question

Karl 2022-9-6

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1795590-i-am-trying-to-get-the-commands-right-in-fzero-solve-this-equation-for-v-but-can-t-get-out-of-error

回答： Walter Roberson 2022-9-6

(650.4840847370483-(499.99999-V))/((150.4840947370483-V*0.5)/(V*0.8660254037844386))=((499.99999-V)-((650.4840847370483/(((150.4840947370483-V*0.5)/(V*0.8660254037844386))+(1.364221444252341)))*(1.364221444252341)))/((((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((265.44217796995656)-(650.4840847370483-(499.99999-V))/((284.6902147370483)/((265.44217796995656)-((284.6902147370483)/((150.4840947370483-V*0.5)/(V*0.8660254037844386)))))))+1.7320508075688773))*1.7320508075688773+(499.99999-V))-((650.4840847370483/(((150.4840947370483-V*0.5)/(V*0.8660254037844386))+(1.364221444252341)))*(1.364221444252341)))/((268.13379275127335)-(((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((265.44217796995656)-(650.4840847370483-(499.99999-V))/((284.6902147370483)/((265.44217796995656)-((284.6902147370483)/((150.4840947370483-V*0.5)/(V*0.8660254037844386)))))))+1.7320508075688773))*1.7320508075688773+(499.99999-V))-365.79387)/((284.6902147370483)/((268.13379275127335)-((650.4840847370483-(499.99999-V))/1.7320508075688773)))))

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Answer 1

Walter Roberson 2022-9-6

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1795590-i-am-trying-to-get-the-commands-right-in-fzero-solve-this-equation-for-v-but-can-t-get-out-of-error#answer_1042580

在 MATLAB Online 中打开

syms V
eqn = (650.4840847370483-(499.99999-V))/((150.4840947370483-V*0.5)/(V*0.8660254037844386)) == ((499.99999-V)-((650.4840847370483/(((150.4840947370483-V*0.5)/(V*0.8660254037844386))+(1.364221444252341)))*(1.364221444252341)))/((((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((265.44217796995656)-(650.4840847370483-(499.99999-V))/((284.6902147370483)/((265.44217796995656)-((284.6902147370483)/((150.4840947370483-V*0.5)/(V*0.8660254037844386)))))))+1.7320508075688773))*1.7320508075688773+(499.99999-V))-((650.4840847370483/(((150.4840947370483-V*0.5)/(V*0.8660254037844386))+(1.364221444252341)))*(1.364221444252341)))/((268.13379275127335)-(((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((((((499.99999*2-(499.99999-V))/3.048781622302137)*1.7320508075688773+(499.99999-V))-(499.99999-V))/((265.44217796995656)-(650.4840847370483-(499.99999-V))/((284.6902147370483)/((265.44217796995656)-((284.6902147370483)/((150.4840947370483-V*0.5)/(V*0.8660254037844386)))))))+1.7320508075688773))*1.7320508075688773+(499.99999-V))-365.79387)/((284.6902147370483)/((268.13379275127335)-((650.4840847370483-(499.99999-V))/1.7320508075688773)))));
vpasolve(eqn)

There are 7 solutions. 2 negative, 3 positive, two complex conjugates.