Question

What do you mean by symmetric expressions in quadratic equations?

Answer 1

let A and B are the roots of quadratic equation a x^2 + b x + c = 0 , where
( a cannot be = 0 )

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then , the expressions of the form :
A + B , AB , A^2 + B^2 , A^2 - B^2 ..etc are known as the functions of the roots A and B .

so then , what are symmetric expressions ?

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symmetric expressions :
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Definition :
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if the expressions dont change on interchanging (roots) A and B then the expressions are known as symmetric expressions.

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Answer 2

Explanation:

If the function using the roots of the quadratic f(x1,x2) doesn't change on interchanging x1 and x2, then the function, f, is symmetric. In other words, an expression in x1 and x2, which remains the same when x1 and x2 are interchanged, is called a symmetric function in x1 and x2.