How to solve quadratic equation which includes a vector?

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Lu Da Silva
Lu Da Silva 2020-11-17
评论： Lu Da Silva 2020-11-18
Hi,
I have the following equation: V1^2 - V1*V2 - Q*Z = 0
V1 is what I need to find
V2 is a known constant
Q is a known vector with complex values
Z is a known constant
This is what I've tried:
syms V1
eq = V1^2 - V1*V2 - Q*Z;
result = roots(eq);
But I get the result "Empty sym: 0-by-1"

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采纳的回答

Setsuna Yuuki.
Setsuna Yuuki. 2020-11-17
编辑：Setsuna Yuuki. 2020-11-17
You can try with solve:
syms V1
eq = V1^2 - V1*V2 - Q*Z;
result = solve(eq,V1);
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Lu Da Silva
Lu Da Silva 2020-11-18
The former loop worked, yet I only get one result: the positive and negative result of the last value of my Q-vector... Shouldn't I get a vector/matrix as a result? Maybe roots isn't the right function for this case...? For some reason it's not saving all the values yet just the last one
Lu Da Silva
Lu Da Silva 2020-11-18
Figured it out; it's
for i = 1:length(Q)
eq2 = [1 -V2 -Q(i)*Z];
result(i,:) = roots(eq2)
end
Thank you!

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