I want to know the answer

I want to know the answer E' u. roots of x' —

(1) . The given equation is, x^{2} - 3 x + 2 = 0 Comparing it with {ax}^{2} + bx + c = 0, we get a = 1 b = - 3; c = 2 Now, α and β are the roots of above equation . So, α + β = - \frac{b}{a} = 3; αβ = \frac{c}{a} = 2 Now, roots of the required equation are : - α and - β Sum of roots, S = (- α) + (- β) = - (α + β) = - 3 Product of roots, P = (- α) . (- β) = αβ = 2 So, required quadratic equation is, x^{2} - Sx + P = 0 \Rightarrow x^{2} + 3 x + 2 = 0

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