Quadratic Equations
Akopọ
Quadratic equations arise whenever a problem involves a squared term: the path of a thrown ball, the area of a resized rectangle, or the profit curve of a business. Learning to solve them unlocks a wide range of real-world applications and appears in almost every Higher-tier exam paper.
You will start with factorisation at Foundation level, then move to the quadratic formula and completing the square at Higher. The topic also covers forming quadratic equations from context and solving systems where one equation is linear and the other quadratic.
Awọn Afojusun
- Solve quadratic equations by factorisation (limited to x^2 + bx + c = 0 at Foundation)
- [Higher] Solve quadratic equations by using the quadratic formula or completing the square
- [Higher] Form and solve quadratic equations from data given in a context
- [Higher] Solve simultaneous equations in two unknowns, one equation being linear and the other being quadratic
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Oriire fun ipari ẹkọ lori Quadratic Equations. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
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- Solve x^2 - 9 = 0. A) x = 3 only B) x = -3 only C) x = 3 or x = -3 D) x = 9 Answer: C
- How many real solutions does x^2 + 4x + 4 = 0 have? A) 0 B) 1 C) 2 D) 3 Answer: B
- Factorise x^2 + 2x - 15. A) (x+5)(x-3) B) (x-5)(x+3) C) (x+15)(x-1) D) (x+3)(x-5) Answer: A
- What is the discriminant of 2x^2 + 3x - 1 = 0? A) 1 B) 17 C) 5 D) -1 Answer: B
- Solve x^2 - 4x = 0. A) x = 4 only B) x = 0 or x = 4 C) x = 0 or x = -4 D) x = 2 or x = -2 Answer: B
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Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
Quadratic Equations
Solve quadratic equations by factoring.
"Algebra and Trigonometry: Quadratic Equations" 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/2-5-quadratic-equations. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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