Page 106 - aljaber

@ @YS@ @pý†bɾa@ @

∆ = b2 − 4ac = (−2)2 − 4 ×1 × m = 4 − 4m

.∆ = 0 ()

.m = 1 . 4 − 4m = 0

.∆ > 0 ()

( ) . 4 − 4m > 0

.m < 1

.∆ < 0 ()

.m > 1 . 4 − 4m < 0

[Sum And Products of The Roots] (.)

.ax2 + bx + c = 0 βα

ax2 + bx + c = a(x − α)(x − β)
= a(x 2 − (α + β)x + αβ)
a≠0

x 2 + b x + c = x 2 − (α + β)x + αβ
aa

α + β = −b
a

. αβ = c
a