Tiger Algebra Calculator గణిత లేక్కించే యంత్రం

Gunakaranam (leka factorizing) ididaina okka padhathi samkhyala samikaranalanu parishiinchadaniki, anukunna vargam samikarana sutram mariyu cheyyi ni petti mokkapodu.

Vargam samikarana yookka sthira roopam $$a{x}^2+bx+c=0$$ antaru, ee $$a$$, $$b$$ mariyu $$c$$ gunakaramula pratinidhiga mariyu $$x$$ anedhi teliyani variblega prastutaindi.

Udaharanam:
$$2x^2+7x+3=0$$

Vargam gunakaranalu vyakaranam yookka padhathi, vyakaraana samikarana yookka vyakaraana roopanni (dani rekhaganam gunakaralu yookka roopanni) marusthundi:
$$2x^2+7x+3=\left(x+3\right)\left(2x+1\right)$$

Prathi rendu pakshale samanamaindi (veeatani vere adhwarana roopamga rayabadina ade samikaranam), anedhi vyakaraana roopam samikaranamu kooda sari chesthundi:
$$\left(x+3\right)\left(2x+1\right)=0$$

Samikarana vyakaraana roopam samkhyayokka nilai yookka niluvulu kanugonela cheyagalaru. Leva, anya padhathullo, vargam samikarana yookka moolalanni dorakisthundamu.

Rendu gunakarala utpadam sari aithe, okkarini leka rendu pakshalanu sari chesi, varible kosam parishiilinchandi:
$$\left(x+3\right)=0$$
$$\left(2x+1\right)=0$$
Deeni rendu rekhaganam samikaranalu vargam samikarana yookka moolalaku istharu:
$$x=-3$$
$$x=-1/2$$
Moolalanni thelusukovadam kosam, $$x$$ yannanu rasandi:
$$x_1=-3$$
$$x_2=-1/2$$
Gurthunchandi, annitiki vargam samikaranalanni vyakarana cheyagalugadadhu. Alanti paristhithullo, manam vere padhathi, anukunna vargam samikarana sutram, vadeyali.

Sambandhita padarthalu:

Gunakara – oka, sankhya leka vyakhyayanni veru sankhya leka vyakhyayanni potuna hadeebhoogangaa vibhajanisthaa. Rendu sankhyalanni leka vyakhyayananni guninchi, manaki utpadam dorukuthundi. Utpadam theesina sankhyalani leka vyakhyayanni "gunakaralu" ani pilusthunnam.

Gunakaram – oka variable compulsary ga guninchi upayoginche sankhya. Vargam samikaranamu yookka sthiram roopamu $$a{x}^2+bx+c=0$$ , $$a$$, $$b$$ mariyu $$c$$ gunakaramgaa vuntai. $$c$$ adhi sthiramga undi, ee sandarbhanga gunakaramgaa pradharsinchabadunu.

Nadhuva padam vibhajinchu – oka padhathi vargam samikarana vyakaranam cheyadaniki. Tiger ee padhathini vargam samikaranalanu gunakaranam dwara parishiinchadaniki upayogisthundi.

Sarvanga niluvu padam – oka sankhya leka vyakhyayanni daniniye adhe guninchi daggarabettina utpadam. Koodida akshananni leka vyakhyayanni choopisthundi. Udaharanamga, $$9$$ oka sarvanga niluvu padam ($$9=3^2=3·3$$). $$4x^2$$ sarvanga niluvu padam kooda vuntundi ($$4x^2={\left(2x\right)}^2=2x·2x$$)

Meeru me vargam samikarana Tiger yookka calculator loki daachandi. Stap dweepakshiya parishodhana meeku vargam samikarana vyakaranam ela cheyalo thelusthundi.