PolynomialAndEquation VietaTheorem Basic

Problem - 2602
Consider the equation $x^2 +(m-2)x + \frac{1}{2}m-3=0$. (1) Show that this equation always have two distinct real roots (2) Let $x_1$ and $x_2$ be its roots. If $x_1+x_2=m+1$, what is the value of $m$?

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