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undergraduate thesis
Kvadratna jednadžba
2018. urn:nbn:hr:174:118119
Baračević, Matej
College of Slavonski Brod

Cite this document

Baračević, M. (2018). Kvadratna jednadžba (Undergraduate thesis). Slavonski Brod: College of Slavonski Brod. Retrieved from https://urn.nsk.hr/urn:nbn:hr:174:118119

Baračević, Matej. "Kvadratna jednadžba." Undergraduate thesis, College of Slavonski Brod, 2018. https://urn.nsk.hr/urn:nbn:hr:174:118119

Baračević, Matej. "Kvadratna jednadžba." Undergraduate thesis, College of Slavonski Brod, 2018. https://urn.nsk.hr/urn:nbn:hr:174:118119

Baračević, M. (2018). 'Kvadratna jednadžba', Undergraduate thesis, College of Slavonski Brod, accessed 19 January 2025, https://urn.nsk.hr/urn:nbn:hr:174:118119

Baračević M. Kvadratna jednadžba [Undergraduate thesis]. Slavonski Brod: College of Slavonski Brod; 2018 [cited 2025 January 19] Available at: https://urn.nsk.hr/urn:nbn:hr:174:118119

M. Baračević, "Kvadratna jednadžba", Undergraduate thesis, College of Slavonski Brod, Slavonski Brod, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:174:118119

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Metadata
TitleKvadratna jednadžba
Title (english)Quadric equation
AuthorMatej Baračević
MentorMaja Čuletić Čondrić (mentor)
Committee memberMladen Bošnjaković (predsjednik povjerenstva)
Committee memberMaja Čuletić Čondrić (član povjerenstva)
Committee memberMarija Stoić (član povjerenstva)
GranterCollege of Slavonski Brod
Slavonski Brod
Defense date and country2018-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Mechanical Engineering
Production Mechanical Engineering
Abstract
U radu je prikazano na raznim primjerima i zadatcima kako se kvadratne jednadžbe mogu koristiti u svakodnevnom životu te kako se mogu primjenjivati i u ostalim znanostima. Kvadratne jednadžbe poistovjećuju se s kvadratnim polinomima, odnosno polinomima drugog reda. Kvadratne jednadžbe su oblika 𝑦=𝑎𝑥2+𝑏𝑥+𝑐. Ima graf koji je u obliku parabole. Veliki broj kvadratnih jednadžbi se može riješiti faktorizacijom kada je koeficijent kod jednadžbe jedan. Također neke jednadžbe čiji vodeći koeficijent nije jedan, mogu se riješiti faktorizacijom pomoću metode koja se zove “rastavljanje na faktore“. Druga metoda je metodom “kvadratne formule“. Na kraju se dobije pozitivno i negativno rješenje. Diskriminanta može imati različite vrijednosti. Treća metoda za rješavanje kvadratnih jednadžbi je metoda “nadopunjavanje kvadrata“. Ona se koristi kada se jednadžba ne može faktorizirati. Kvadratne jednadžbe imaju široku primjenu.
Abstract (english)
In the work is shown in various examples and assignments how quadratic equations can be used in everyday life and how they can be applied in science. Quadratic equations elaborates equations in which is include quadratic polynomials, i.e. second degree polynomials. Equations are having the form: 𝑦=𝑎𝑥2+𝑏𝑥+𝑐 and they contain a graph which is in shape of parable. A lot of quadratic equations can be solved by factorization when the coefficient of the equation is one. Also some of the equations whose leading coefficient is not one, can be solved with a method called “factoring by grouping”. Another method is called “the quadratic formula”. On the end of this method solution will be positive and negative. Discriminant can have different values. Third method is called “completing the square”. It is used when the equation can’t be factored. Quadratic equations have wide specter of application.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:174:118119
Study programmeTitle: Professional study program in Production Engineering 
Study programme type: professional
Study level: undergraduate
Academic / professional title: stručni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka strojarstva (stručni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka strojarstva)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2018-10-23 10:16:18