Chii chinonzi equation: tsananguro, mhinduro, mienzaniso

Muchinyorwa chino, tichatarisa kuti equation chii, uye kuti zvinorevei kuigadzirisa. Ruzivo rwedzidziso rwunopihwa rwunoperekedzwa nemienzaniso inoshanda yekunzwisisa zviri nani.

gutsikana

Equation tsananguro

The equation is , ine nhamba isingazivikanwe ichawanikwa.

Iyi nhamba inowanzo rehwa netsamba diki yechiLatin (kazhinji - x, y or z) uye anodanwa Variable equations.

Mune mamwe mazwi, kuenzana iequation chete kana iine vara rine kukosha kwaunoda kuverenga.

Mienzaniso yeakareruka equation (imwe isingazivikanwe uye imwe arithmetic oparesheni):

  • x +3 = 5
  • uye 2 = 12
  • z + 10 = 41

Mune mamwe maequation akaomarara, shanduko inogona kuitika kakawanda, uye inogonawo kunge iine mabara uye mamwe masvomhu akaomarara. Semuyenzaniso:

  • 2x + 4 – x = 10
  • 3 (y – 2) + 4y = 15
  • x2 +5 = 9

Zvakare, panogona kuve nekusiyana kwakasiyana muequation, semuenzaniso:

  • x + 2y = 14
  • (2x – y) 2 + 5z = 22

Mudzi we equation

Ngatitii tine equation 2x + 6 = 16.

Inoshanduka kuita kuenzana kwechokwadi kana x = 5. Kukosha uku (nhamba) ndiko mudzi we equation.

Gadzirisa equation - izvi zvinoreva kuwana midzi yaro kana midzi (zvichienderana nehuwandu hwezvinyorwa), kana kuratidza kuti hazvipo.

Kazhinji, mudzi unonyorwa seizvi: x = 3. Kana paine midzi yakati wandei, inongonyorwa yakaparadzaniswa nemakoma, semuenzaniso: x1 = 2, x2 =-5.

Notes:

1. Mamwe equation anogona kusagadziriswa.

Semuyenzaniso: 0 · x = 7. Chero nhamba yatinotsiva x, hazvishande kuti uwane kuenzana kwakaringana. Muchiitiko ichi, mhinduro ndeiyi: "iyo equation haina midzi."

2. Mamwe equation ane nhamba isingaperi yemidzi.

Semuyenzaniso: uye = uye. Muchiitiko ichi, mhinduro ndeye nhamba ipi zvayo, kureva x ∈ R, x ∈ Z, x ∈ Napo N, Z и R nhamba dzechisikigo, dzakakwana uye chaidzo, zvichiteerana.

Equivalent Equations

Equation ine midzi yakafanana inonzi zvakafanana ne.

Semuyenzaniso: x +3 = 5 и 2x + 4 = 8. Pamaequation ese ari maviri, mhinduro ndiyo nhamba mbiri, kureva x = 2.

Basic equivalent shanduko ye equations:

1. Kufambiswa kweimwe temu kubva kune chimwe chikamu cheequation kuenda kune chimwe neshanduko yechiratidzo chayo kuenda kune chakapesana.

Semuyenzaniso: 3x + 7 = 5 zvakafanana ne 3x + 7 – 5 = 0.

2. Kuwanza/kupatsanurwa kwezvikamu zviviri zveequation nenhamba imwe chete, isingaenzane ne zero.

Semuyenzaniso: 4x - 7 = 17 zvakafanana ne 8x - 14 = 34.

Iyo equation zvakare haishanduke kana nhamba imwe chete yakawedzerwa/kubviswa kumativi ese.

3. Kuderedzwa kwemazwi akafanana.

Semuyenzaniso: 2x + 5x – 6 + 2 = 14 zvakafanana ne 7x - 18 = 0.

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