Mathematics Specification A - 4MA1 PearsonEdexcel

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

  1. Solve quadratic equations by factorisation (limited to x^2 + bx + c = 0 at Foundation)
  2. [Higher] Solve quadratic equations by using the quadratic formula or completing the square
  3. [Higher] Form and solve quadratic equations from data given in a context
  4. [Higher] Solve simultaneous equations in two unknowns, one equation being linear and the other being quadratic

Akọ̀wé Ẹ̀kọ́

You can measure the area of a square garden by squaring its side length. But what if you know the area and need the side? That question leads to a quadratic equation, and the methods in this topic show you how to solve it.

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

Ìdánwò Ẹ̀kọ́

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.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  1. Solve x^2 - 9 = 0. A) x = 3 only B) x = -3 only C) x = 3 or x = -3 D) x = 9 Answer: C
  2. How many real solutions does x^2 + 4x + 4 = 0 have? A) 0 B) 1 C) 2 D) 3 Answer: B
  3. 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
  4. What is the discriminant of 2x^2 + 3x - 1 = 0? A) 1 B) 17 C) 5 D) -1 Answer: B
  5. 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

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe

Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Quadratic Equations? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.

Ṣe igbasilẹ ohun elo naa lori Google Playstore

Gbogbo ohun ti o nilo lati ṣe dara julọ ninu JAMB, WAEC ati NECO.

Green Bridge CBT Mobile App
Asiko ẹkọ AI ti ara ẹni Chat Assistant
Ẹgbẹẹgbẹrun Awọn Ibeere Atijọ IGCSE, JAMB, WAEC & NECO
Fiwọn 1200 Awọn akọsilẹ Ẹkọ ju.
Atilẹyin Aisinipo - Kọ ẹkọ Nigbakugba, Nibi gbogbo
Tẹ̀dí Green Bridge
Àkójọpọ̀ Ìtàn Lítíréṣọ̀ & Ìbéèrè Tó Lè Dáyéé ṣẹ́lẹ̀
Tẹle iṣẹ ṣiṣe rẹ ati ilọsiwaju rẹ.
Àlàyé tí ó jinlẹ̀ fún ìmòye tó jinlẹ̀.