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x²-2×-3=0 find the sum and product root​

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x²-2×-3=0
find the sum and product root​

Answer:

Therefore, the sum of the roots is 2, and the product of the roots is -3.

Step-by-step explanation:

The given quadratic equation is \(x^2 - 2x - 3 = 0\).

The sum of the roots (\(S\)) can be found using the formula \(S = -\frac{b}{a}\), where \(a\) is the coefficient of \(x^2\) (1 in this case) and \(b\) is the coefficient of \(x\) (-2 in this case).

So, \(S = -\frac{-2}{1} = 2\).

The product of the roots (\(P\)) can be found using the formula \(P = \frac{c}{a}\), where \(c\) is the constant term (-3 in this case).

So, \(P = \frac{-3}{1} = -3\).

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