Mathematics Specification A - 4MA1 PearsonEdexcel

Quadratic Equations

Muhtasari

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.

Malengo

  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

Maelezo ya Somo

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.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Quadratic Equations. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.

Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

  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

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Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.

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Inapatikana kwenye programu ya Green Bridge

Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.

Maelezo kamili ya masomo yenye michoro
Msaidizi wa kujifunza wa AI
Soma bila mtandao, wakati wowote, mahali popote
Inapatikana kwa Android, Windows, macOS, na Linux

Fanya Mazoezi ya Maswali ya Majaribio

Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Quadratic Equations? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.

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