Wp/iba/Formula kuadratik

Puncha fungsyen kuadratik Template:Wp/iba/Math nya alai graf besimpang enggau paksi-Template:Wp/iba/Mvar, iya nya nilai Template:Wp/iba/Math enggau Template:Wp/iba/Math. Puncha tadi ulih ditemu ngena formula kuadratik.

Dalam algebra paung, formula kuadratik nya formula dikena mutarka fungsyen kuadratik. Chara bukai dikena mutarka fungsyen tu iya nya, pefaktor enggau nembuka kuasa dua, meri pemutar ke sama.

Diberi penyama kuadratik dalam tukuh Template:Wp/iba/Tmath, enggau Template:Wp/iba/Tmath ngarika nilai ke enda ditemu, enggau koefisen Template:Wp/iba/Tmath, Template:Wp/iba/Tmath, enggau Template:Wp/iba/Tmath ngarika lumur bendar tauka kompleks ke udah ditemu, lalu Template:Wp/iba/Tmath, nilai Template:Wp/iba/Tmath nyadi pemutar penyama tu, dikumbai puncha, ulih ditemu ngena formula kuadratik iya nya,

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a},$$

ke alai simbol tambah-buai "Template:Wp/iba/Tmath" nunjukka penyama tu ngembuan dua puncha. Ditulis beserekang, puncha nya:

$$x_1=\frac{-b+\sqrt{b^2-4ac}}{2a},x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}.$$

Kuantiti Template:Wp/iba/Tmath dikelala enggau nama pemida layan formula kuadratik tadi. Nyema koefisen Template:Wp/iba/Tmath, Template:Wp/iba/Tmath, enggau Template:Wp/iba/Tmath nya lumur bendar lalu enti Template:Wp/iba/Tmath, penyama tu ngembuan dua iti puncha bendar ke bebida; lalu enti Template:Wp/iba/Tmath, penyama tadi ngundan siti puncha ke sama; sereta enti Template:Wp/iba/Tmath, penyama tu nadai puncha benda tang bisi dua puncha kompleks ti bebida, iya nya konjugat kompleks.

Ari sukut geometri, puncha tadi ngayanka nilai Template:Wp/iba/Tmath ke alai graf fungsyen kuadratik Template:Wp/iba/Tmath, siti parabola, besimpang enggau paksi-Template:Wp/iba/Tmath. Formula kuadratik mega ulih dikena ngiga paksi simetri parabola.