How do I compute the minimum or maximum

Guadalupe Glass

Guadalupe Glass

Answered question

2022-03-25

How do I compute the minimum or maximum LINE of a bivariate quadratic function?
y=g(x,w)=ax2+bxw+cw2+dx+ew+f

Answer & Explanation

Jadyn Gentry

Jadyn Gentry

Beginner2022-03-26Added 12 answers

Step 1
y=[xw][ab2b2c][xw]+[de][xw]+f
If b24ac=0, a>0, then it is positive semidefinite. If 2aebd=0, then the system is consistent. The line is
2ax+bw=d
Similarly if b24ac=0, a<0, it is negative semidefinite and we get the same line.

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