Mathematics (US) - 0444 CIE

Create And Solve Quadratic Equations

Gbogbo ọrọ náà

Quadratic equations describe the shape of a thrown ball, the area of a rectangle and countless other situations where a quantity depends on the square of another. Solving them means finding the values that make the equation true, and there is more than one route to the answer.

In this lesson you will create quadratic equations from problems and solve them four ways: by inspection, by factoring, by the quadratic formula, and by completing the square. Knowing all four lets you pick the fastest method for each equation and check one against another.

Ebumnobi

  1. Create and solve quadratic equations by inspection, factorization, the quadratic formula and completing the square.

Akọmọ Ojú-ẹkọ

Many real relationships are quadratic, and the moment you need to find when a height is reached, when an area equals a target, or where a curve crosses an axis, you are solving a quadratic. Having four reliable methods means no quadratic can stump you, whether it factors neatly or not.

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Create And Solve Quadratic Equations. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  1. Solve x^2 + 5x + 6 = 0. A. x = 2 or x = 3 B. x = -2 or x = -3 C. x = -1 or x = -6 D. x = 2 or x = -3 Answer: B
  2. Using the quadratic formula on 2x^2 + 3x - 2 = 0, the solutions are: A. x = 1/2 or x = -2 B. x = 2 or x = -1/2 C. x = -1 or x = 2 D. x = 1 or x = -2 Answer: A
  3. What is the discriminant of x^2 + 6x + 5 = 0? A. 11 B. 16 C. 36 D. 56 Answer: B
  4. Completing the square, x^2 + 6x + 5 becomes: A. (x + 3)^2 + 5 B. (x + 6)^2 - 31 C. (x + 3)^2 - 4 D. (x + 3)^2 + 4 Answer: C
  5. In the quadratic formula, the part b^2 - 4ac is called the: A. root B. coefficient C. discriminant D. constant Answer: C

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Meecha Ajụjụ Ule Ọmarịcha

Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Create And Solve Quadratic Equations? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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