solve the equation for one variable and find the value of variable

To find solution(s) other than a==1, in case more solution(s) exists, you generally obtain them by specifying an initial guess closer to the other solutions. However, as we don't know any other solution, let's assume a guess that is far from the solution we know -

As the allowed values of a are [-1, 1], let's take the initial guess as -0.5

syms a
P = [1.0 1.2  2.2  3.4  4.4  6.7  4.2  4.8  6.4 7.4] ;
s = zeros(size(P)) ;
for i = 1:length(P)
    p = P(i);
    eqn = p*((1-a^2)^(3/2)) == (a*acosd(a)-(a^2)*sqrt(1-a^2));
    s(i)=vpasolve(eqn,a,-0.5);
end
s
s = 1×10
    0.0112    0.0134    0.0248    0.0387    0.0503    0.0777    0.0480    0.0551    0.0741    0.0861

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Answer 2

KSSV 2023-5-15

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1963749-solve-the-equation-for-one-variable-and-find-the-value-of-variable#answer_1235309

syms a
P = [1.0 1.2  2.2  3.4  4.4  6.7  4.2  4.8  6.4 7.4] ;
s = zeros(size(P)) ;
for i = 1:length(P)
    p = P(i) ; 
    eqn = p*((1-a^2)^(3/2)) == (a*acosd(a)-(a^2)*sqrt(1-a^2)) 
    s(i) = vpasolve(eqn,a) ;  
end