Simultaneous Equations
Bayani Gaba-gaba
Solving two linear equations together is familiar ground. Now one of the equations becomes non-linear, perhaps a curve such as a circle or a parabola. Geometrically you are finding where a straight line meets a curve, and there can be two crossing points, one (a tangent) or none.
In this lesson you will learn the reliable substitution method: rearrange the linear equation, substitute it into the non-linear one, and solve the quadratic that results. The classic example, a line meeting a circle, shows the whole process and connects neatly to coordinate geometry.
Manufura
- Solve simultaneous equations in two unknowns by elimination or substitution, including cases with one linear and one non-linear equation.
Darasin Sauti
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Taswirar tunani
An zana wannan batu don ka ga yadda ra'ayoyi ke hadewa.
Bude taswirar tunani a cikin manhaja
Katunan tunawa
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Takardar Darasi
Cikakken Bayanin Darasi Yana Kan Manhajar Green Bridge
Sami manhajar Green Bridge CBT a wayarka ko kwamfutarka domin cikakken laburaren IGCSE: takardun jarrabawar baya, tsarin kimantawa, taswirar tunani, katunan karatu da darussan sauti.
Nazarin Darasi
Barka da kammala darasi akan Simultaneous Equations. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- Solving y = x + 1 and x^2 + y^2 = 25 leads to which quadratic in x? A. x^2 + x - 12 = 0 B. x^2 - x - 12 = 0 C. 2x^2 + 25 = 0 D. x^2 + 1 = 25 Answer: A
- The points of intersection of y = x + 1 and x^2 + y^2 = 25 are: A. (4, 5) and (-3, -2) B. (-4, -3) and (3, 4) C. (0, 1) and (5, 6) D. (3, -4) and (-4, 3) Answer: B
- To solve one linear and one non-linear equation, the best first step is to: A. Add the two equations B. Square the linear equation C. Substitute the linear equation into the non-linear one D. Multiply the equations Answer: C
- Solving y = 2x - 1 and y = x^2 - 4 gives the x-values: A. 3 and -1 B. 1 and -3 C. 2 and -2 D. 4 and -1 Answer: A
- If a line meets a curve at exactly one point, the line is: A. A chord B. A tangent C. Parallel to an axis D. Outside the curve Answer: B
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
Systems of Nonlinear Equations and Inequalities: Two Variables
Solve a system of nonlinear equations using substitution.
"Algebra and Trigonometry: Systems of Nonlinear Equations and Inequalities: Two Variables" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/11-3-systems-of-nonlinear-equations-and-inequalities-two-variables. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
Wasu ƙungiyoyi ne suka wallafa su ƙarƙashin lasisin buɗe, kuma muna ambaton su yadda suka nema. Hanyoyin suna buɗe shafukansu.
Yi Aikin Tambayoyin Gwaji
Kana son yin aikin tambayoyin gwaji kan Simultaneous Equations? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.
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Duk abin da kake buƙata don yin fice a JAMB, WAEC & NECO.
