टाइगर बीजगणित कैलकुलेटर

Dvighat asamanataein dvighat samikarano se lagbhag ek saman hoti hain; pramukh antar yeh hai ki dvighat asamanatao mei asamanata ka chinh hota hai aur dvighat samikarano mei barabar ka chinh hota hai. Jabke dvighat samikarano ke hal vaakya-varg ke mool, ya x-intercepts, ko prastut karte hain, tab dvighat asamanatao ke hal ek graph par vaakya-varg ke mool ke bich ke antaralko ko prastut karti hain.
Dvighat asamanatao ke kuch maanak roop hote hain. Ve hain: $$a{x}^2+bx+c>0$$ $$a{x}^2+bx+c\ge 0$$ $$a{x}^2+bx+c<0$$ $$a{x}^2+bx+c\le 0$$
In roopon me, $$a$$, $$b$$ aur $$c$$ gunank ko prastut karte hain aur $$x$$ ek char jo asamanata ko varnit antaraal mei padta hai aur jab $$x$$ ki jagah par pratinidhit kiya jata hai, ek satya ganitiya kathan (udharan ke liye, $$-2<0$$) utpann karta hai. In antaraalo ko dhundhne ke liye, hamein pehle yeh samajhna hoga ki vaakya-varg ke mool kaha sthit hain. Iska nirdharan sankalan ya dvighat sutra ka upyog karke kiya ja sakta hai. Ant me, hamein yeh nirnay lena hoga ki in antaraalo me se kaun sa $$x$$ asamanata ko sahi roop se hal karta hai.

Agar asamanata me chinh ≤ ya ≥ hai to uske mool antaraal me shaamil hote hain aur uski vaakya-varg ek graph par sthir rekha ke sath chitrith hoti hai. Agar asamanata ka chinh < ya > hai tab uske mool antaraal me shaamil nahi hote hain aur uski vaakya-varg ek graph par bindu rekha ke sath chitrith hoti hai.
Jab ek asamanata ko hal kiya ja raha ho (jaise ek samikaran ko hal kiya jata hai), jo kuchh bhi aap asamanata ke ek paksh me kar rahe ho, aapko uske dusre paksh me bhi wahi karna padega.
Dvighat asamanatao ko hal karne ke tareeke seekhein