Given the equation x ^ 2 + 3x-2 = 0, find a new quadratic equation with one variable so that its roots are twice the roots of the original equation, then the new equation is______ Given that the two roots of the equation x ^ 2 + (m-2) x + (n + 3) = 0 are - 2, - 3, then M + n=________

Given the equation x ^ 2 + 3x-2 = 0, find a new quadratic equation with one variable so that its roots are twice the roots of the original equation, then the new equation is______ Given that the two roots of the equation x ^ 2 + (m-2) x + (n + 3) = 0 are - 2, - 3, then M + n=________


x1+x2=3 x1*x2=2
2x1+2x2=3*2=6 2x1*2x2=2*4=8
New equation x & sup2; - 6x + 8 = 0
x1+x2=2-m=-2 x1*x2=n+3=-3
m=4 n=-6
m+n=4-6=-2

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