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2x^{2} + qx + (q-1) = 0
X1 + X2 = -b/a
X1 + X2 = -q/2
X1X2 = c/a
X1X2 = q-1/2
X1^2 + X2^2 = 4
(X1 + X2)^2 = X1^2 + X2^2 +2X1X2
(- q/2)^2 = 4 + q-1
q^2/4 = 3 + q
q^2 = 12 + 4q
q^2 - 4q - 12 = 0
(q-6)(q+2) = 0
q = 6 v q = -2
No 5
X1 = X2 = X
X1X2 = c/a
X^2 = 12/1-m
X1+X2 = -b/a
2X = -8+2m/1-m
X = -4+m/1-m
X^2 = 12/1-m
(-4+m/1-m) ^2 = 12/1-m
(16-8m+m^2 / 1-2m+m^2) = (12 / 1-m)^2
16-8m+m^2 = 144
m^2 - 8m - 128 = 0
(m-16) (m+8) = 0
m = 16 v m = -8
No 6
X1 = 2
X1 + X2 = -b/a
2 +