Question

What is symmetric roots
Explain by sum?

Answer 1

Answer:

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Explanation:

$F(X) ax²+bx+c=0,( \alpha \beta$

$\alpha + \beta = -b \div a$

$\alpha \beta = c \div a$

$α²+β²=–b²/a²$

$(α+β)²–2αβ$

$=–b²/a–2(c/a)$

$=b²/a²=2c/a$

$=b²–2ac/a²$

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Answer 2

$\huge\colorbox{lime}{ANSWER}$

$f(x) ax²+bx+c=0,( \alpha \beta )$

$\alpha + \beta = - b \div a$

$\alpha \beta = c \div a$

α²+β²=-b²/a²

=(α+β)²=-2αβ

=(-b/a)²-2(c/a)

=b²/a²=2c/a

=b²-2ac/a²

A symmetric polynomial is a polynomial where if you switch any pair of variables, it remains the same. For example, x 2 + y 2 + z 2 x^2+y^2+z^2 x2+y2+z2 is a symmetric polynomial, since switching any pair, say x and y, the resulting polynomial y 2 + x 2 + z 2 y^2+x^2+z^2 y2+x2+z2 is the same as the initial polynomial.

I hope this helps u

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