I Tavi

I
Tavi
26
nax. 1
kvadratul gantolebas SesaZlebelia hqondes erTi
amonaxseni, ori amonaxseni an arc erTi amonaxseni.
amovxsnaT paragrafis dasawyisSi dasmuli amocanis
Sesabamisi gantoleba:
x 2 + x – 6 = 0
gantolebas mivceT saxe: x 2 = –x + 6
avagoT y = x 2 da y = –x + 6 funqciaTa grafikebi.
radgan sigrZe arauaryofiTi ricxviT gamoisaxeba,
amitom amocanis amonaxseni iqneba A wertilis abscisa.
e. i. x = 2.
maSasadame, Tavdapirveli kvadratis gverdis sigrZe
2 m-ia.
magaliTi 1
amoxseniT grafikulad x 2 = m (1) gantoleba.
amoxsna:
avagoT y = x2 da y = m funqciaTa grafikebi. Tu
davakvirdebiT 1-el naxazs, advilad davaskvniT, rom
erTi amonaxseni, roca m = 0
x 2 = m gantolebas aqvs ori amonaxseni, roca m > 0
arc erTi amonaxseni, roca m < 0
kerZod, Tu m = 0, maSin (1) gantolebis amonaxseni iqneba x = 0.
xolo, roca m > 0, maSin (1) gantolebis amonaxsnebi iqneba x = 1
da x = − (axseniT, ratom?).
2
amrigad,
m0
x∈∅ x∈{0} x∈{ ; − }
magaliTi 2
amoxseniT grafikulad Semdegi gantoleba: 2x2 – 3x + 5 = 0.
amoxsna:
b) (2x2 – 3x + 5 = 0) ⇔ (x2 + 3 5
x +
2 2 = 0) ⇔ (x2 = 3 5
x –
2 2 )
avagoT y = x2 da y = 3 5
x – funqciaTa grafikebi. radgan
2 2
miRebul grafikebs saerTo wertili ara aqvs, maSasadame
gantolebas amonaxseni ar eqneba. e.i. amonaxsenTa
simravle iqneba ∅ .