Er det noen som vet hvem som beviste den generelle andregrads formelen?
jeg tror Newton jobbet litt med dette?
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Det er ganske viktig
Finner det ikke på andre nettsider når jeg søker.
Den generelle Andregradsformel
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Heisann!!
Er det noen som vet hvem som beviste den generelle andregrads formelen?
jeg tror Newton jobbet litt med dette?
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Det er ganske viktig
Finner det ikke på andre nettsider når jeg søker.
Er det noen som vet hvem som beviste den generelle andregrads formelen?
jeg tror Newton jobbet litt med dette?
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Det er ganske viktig
Finner det ikke på andre nettsider når jeg søker.
Piratheep skrev:Heisann!!
Er det noen som vet hvem som beviste den generelle andregrads formelen?
jeg tror Newton jobbet litt med dette?
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Det er ganske viktig
Finner det ikke på andre nettsider når jeg søker.
Nja, babylonerne jobbet litt med enkle 2. gradslikninger, selvom de ikke hadde noen spesiell formel...
se litt på denne linken
http://www.google.no/search?q=annen+gra ... rt=10&sa=N
del 2 algebra...etc
Det var jo noen italienere på 1400-1500 tallet som løste 3. gradslikningen.
Og 2. gradslik. ble løst før 3. gradslik.
Newton levde fra 1642-1727. Slik at det er lite trolig, hvis du forstår.
4. gradslikningen ble løst rundt 1550-1560.
La verken mennesker eller hendelser ta livsmotet fra deg.
Marie Curie, kjemiker og fysiker.
[tex]\large\dot \rho = -\frac{i}{\hbar}[H,\rho][/tex]
Marie Curie, kjemiker og fysiker.
[tex]\large\dot \rho = -\frac{i}{\hbar}[H,\rho][/tex]
Tror ikke at man først fant ABC-formelen, og så etterpå beviste den. Jeg tror heller at man skjønte hvordan man kunne bruke de algebraiske reglene til å løse andregradslikninger, og så satte man opp en likning med a, b og c som koeffisienter for å få en generell formel. Da hadde man i samme slengen bevist at formelen stemmer.
Sakset fra Wikipedias artikkel om andregradslikninger
On clay tablets dated between 1800 BC and 1600 BC, the ancient Babylonians first discovered quadratic equations and also gave early methods for solving them. Indian mathematician Baudhayana who wrote a Sulba Sutra in ancient India circa 8th century BC first used quadratic equations of the form ax^2 = c and ax^2 + bx = c and also gave methods for solving them.
Babylonian mathematicians from circa 400 BC and Chinese mathematicians from circa 200 BC used the method of completing the square to solve quadratic equations with positive roots, but did not have a general formula. Euclid produced a more abstract geometrical method around 300 BC. The Bakshali Manuscript written in India between 200 BC and 400 CE introduced the general algebraic formula for solving quadratic equations, and also introduced quadratic indeterminate equations (origin of type ax/c = y).
The first mathematician to have found negative solutions with the general algebraic formula, was Brahmagupta (India, 7th century). Muḥammad ibn Mūsā al-Ḵwārizmī (Persia, 9th century) developed a set of formulae that worked for positive solutions. Abraham bar Hiyya Ha-Nasi (also known by the Latin name Savasorda) introduced the complete solution to Europe in his book Liber embadorum in the 12th century. Bhaskara II (India, 12th century) solved quadratic equations with more than one unknown.
Shridhara (India, 9th century) was one of the first mathematicians to give a general rule for solving a quadratic equation. His original work is lost but Bhaskara II later quotes Shridhara's rule:
Multiply both sides of the equation by a known quantity equal to four times the coefficient of the square of the unknown; add to both sides a known quantity equal to the square of the coefficient of the unknown; then take the square root. [1]
Sakset fra Wikipedias artikkel om andregradslikninger
On clay tablets dated between 1800 BC and 1600 BC, the ancient Babylonians first discovered quadratic equations and also gave early methods for solving them. Indian mathematician Baudhayana who wrote a Sulba Sutra in ancient India circa 8th century BC first used quadratic equations of the form ax^2 = c and ax^2 + bx = c and also gave methods for solving them.
Babylonian mathematicians from circa 400 BC and Chinese mathematicians from circa 200 BC used the method of completing the square to solve quadratic equations with positive roots, but did not have a general formula. Euclid produced a more abstract geometrical method around 300 BC. The Bakshali Manuscript written in India between 200 BC and 400 CE introduced the general algebraic formula for solving quadratic equations, and also introduced quadratic indeterminate equations (origin of type ax/c = y).
The first mathematician to have found negative solutions with the general algebraic formula, was Brahmagupta (India, 7th century). Muḥammad ibn Mūsā al-Ḵwārizmī (Persia, 9th century) developed a set of formulae that worked for positive solutions. Abraham bar Hiyya Ha-Nasi (also known by the Latin name Savasorda) introduced the complete solution to Europe in his book Liber embadorum in the 12th century. Bhaskara II (India, 12th century) solved quadratic equations with more than one unknown.
Shridhara (India, 9th century) was one of the first mathematicians to give a general rule for solving a quadratic equation. His original work is lost but Bhaskara II later quotes Shridhara's rule:
Multiply both sides of the equation by a known quantity equal to four times the coefficient of the square of the unknown; add to both sides a known quantity equal to the square of the coefficient of the unknown; then take the square root. [1]