Peda penerang kena Formula kuadratik

[[Fail:Roots of a quadratic function via the quadratic formula.png|alt=A graph of a parabola-shaped function which intersects the x-axis at x = 1 and x = 5|thumb|Puncha fungsyen kuadratik {{Math|1=''y'' = {{Sfrac|1|2}}''x''<sup>2</sup> − 3''x'' + {{Sfrac|5|2}}}} nya alai graf besimpang enggau paksi-{{Mvar|x}}, iya nya nilai {{Math|1=''x'' = 1}} enggau {{Math|1=''x'' = 5}}. 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 {{Tmath|1=\textstyle ax^2 + bx + c = 0}}, enggau {{Tmath|x}} ngarika nilai ke enda ditemu, enggau koefisen {{Tmath|a}}, {{Tmath|b}}, enggau {{Tmath|c}} ngarika lumur bendar tauka kompleks ke udah ditemu, lalu {{Tmath|a \neq 0}}, nilai {{Tmath|x}} nyadi pemutar penyama tu, dikumbai puncha, ulih ditemu ngena formula kuadratik iya nya,

<math display=block>
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a},
</math>

ke alai simbol tambah-buai "{{Tmath|\pm}}" nunjukka penyama tu ngembuan dua puncha.<ref>{{Citation|last=Sterling|first=Mary Jane|title=Algebra I For Dummies | year=2010 | publisher=Wiley Publishing | isbn=978-0-470-55964-2 | url=https://books.google.com/books?id=2toggaqJMzEC&q=quadratic+formula&pg=PA219 | page=219}}</ref> Ditulis beserekang, puncha nya:

<math display=block>
x_1 = \frac{-b + \sqrt {b^2 - 4ac}}{2a}, \qquad
x_2 = \frac{-b - \sqrt {b^2 - 4ac}}{2a}.
</math>

Kuantiti {{Tmath|1=\textstyle \Delta = b^2 - 4ac}} dikelala enggau nama pemida layan formula kuadratik tadi.<ref>{{Cite web |mode=cs2 | url=https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/a/discriminant-review|title=Discriminant review|website=Khan Academy|language=en|access-date=2019-11-10}}</ref> Nyema koefisen {{Tmath|a}}, {{Tmath|b}}, enggau {{Tmath|c}} nya lumur bendar lalu enti {{Tmath|\Delta > 0}}, penyama tu ngembuan dua iti puncha bendar ke bebida; lalu enti {{Tmath|1= \Delta = 0}}, penyama tadi ngundan siti puncha ke sama; sereta enti {{Tmath|\Delta < 0}}, penyama tu nadai puncha benda tang bisi dua puncha kompleks ti bebida, iya nya konjugat kompleks.

Ari sukut geometri, puncha tadi ngayanka nilai {{Tmath|x}} ke alai graf fungsyen kuadratik {{Tmath|1=\textstyle y = ax^2 + bx + c}}, siti [[parabola]], besimpang enggau paksi-{{Tmath|x}}.<ref>{{Cite web |mode=cs2 |url=https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/a/quadratic-formula-explained-article| title=Understanding the quadratic formula|website=Khan Academy|language=en|access-date=2019-11-10}}</ref> Formula kuadratik mega ulih dikena ngiga paksi simetri parabola.<ref>{{Cite web |mode=cs2 |url=https://www.mathwarehouse.com/geometry/parabola/axis-of-symmetry.php|title=Axis of Symmetry of a Parabola. How to find axis from equation or from a graph. To find the axis of symmetry ...|website=www.mathwarehouse.com|access-date=2019-11-10}}</ref>

== Malin ==
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