How can i call the value of another variable defined or solved above for solving another equation?

Right now, I have a 6-order polynomial expression, it has only one variable.

I want to be able to call values of some variable defined or obtained above, and solve the polynomial equation for different values of the expression.

I used the following code, but it does not work.

p(1)=1,p(2)=2,p(3)=3,p(4)=4,p(5)=5,p(6)=6,p(7)=7;
f(1)=1,f(2)=2,f(3)=3,f(4)=4,f(5)=5,f(6)=6,f(7)=7;
solve('p(1)*(x.^6)+p(2)*(x.^5)+p(3)*(x.^4)+p(4)*(x.^3)+p(5)*(x.^2)+p(6)*x+ p(7)=f(1)');

what mistake have I made? or in what ways can achieve this purpose?

Thank you.

[zy]

I hope to be able to get the numeric roots of the equation, not the expression form.

Answer 1

[Roger Stafford]

Instead of using 'solve' try using 'roots' for numerical solutions. It will be much faster.

Also, 'solve' will in general be unable to find symbolic solutions for sixth order polynomials.

[zy]

Thank you very much, 'roots' works.

Since it is a 6 order polynomial equation, there may be up to 6 roots including real roots and complex roots.

Can I do something to filter or pick up only real roots?

Answer 2

[Matz Johansson Bergström]

Try

syms x
p = 1:7;
f = 1:7; 
solve(p(1)*x^6+p(2)*x^5+p(3)*x^4+p(4)*x^3+p(5)*x^2+p(6)*x+p(7)==f(1), x)