persamaan kuadrat x²+3x+1=0 memiliki akar akar x1 dan x2, persamaan kuadrat yang akar akarnya 1/2.x1 dan 1/2.x2 adalah...?? mohon bantuannya

X1+X2 = - b/a = - 3
X1.X2 = c/a = 1

Maka,
1/2.X1 + 1/2.X2 = 1/2 (X1+X2)
= 1/2 (-3)
= - 3/2

(1/2.X1) (1/2.X2) = 1/2 (X1.X2)
= 1/2 (1)
= 1/2

Maka persamaan kuadratnya adalah..
f(x) = X^2 - (1/2(X1+X2))X + (1/2(X1.X2))
f(x) = X^2 - (-3/2)X + (1/2)
f(x) = X^2 + 3/2X + 1/2