[tex]-2 x^{2} +3x -2m + 3 =0[/tex]
conditie: Delta >= 0
delta = [tex] b^{2} [/tex] - 4ac
unde in cazul nostru:
a=-2
b=3
c=-2m+3
delta = 9 - 4 * (-2) * (-2m +3)
delta = 9 - (-8) * (-2m +3)
delta = 9 -16 m - 24 = -16 m - 15
-16m - 15 > =0
-16 m >= 15 / (inmultesc cu -1)
16 m <= -15
m <= [tex]- \frac{15}{16} [/tex]
