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9788448649388_Matemàtiques_3ESO_UD05_CATA

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Conjunt de preguntes sobre equacions

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9788448649388_Matemàtiques_3ESO_UD05_CATA
 

9788448649388_Matemàtiques_3ESO_UD05_CATAOnline version

Conjunt de preguntes sobre equacions

by McGraw Hill
1

Quina solució té 3x - 12 = 0 si a ≠ 0?

2

Quantes solucions té l'equació 2x + 3 = 0?

3

Quina és la fórmula per resoldre ax^2 + bx + c = 0?

4

Si b^2 - 4ac < 0, quantes solucions reals té l'equació?

5

En ax^2 + cx = 0 (b=0), quantes solucions té?

6

Resoldre el sistema: x + y = 5 i x - y = 1

7

Resol 2x + 3 = x + 9

8

Una equació quadràtica té discriminant igual a 0. Què passa?

9

Quantes solucions té x^2 + 4x + 5 = 0?

10

Problema: 3x + 2y = 12 i x + y = 5. Solució?

Explicació

Despeges x = 12/3 = 4, altres opcions no satisfan la igualtat.

És una equació lineal amb una solució única.

És la fórmula quadràtica estàndard.

Discriminant negatiu implica zero solucions reals.

Factoritza x(ax+c)=0; x=0 i x=-c/a són solucions (si a ≠ 0).

Sumant i restant, 2x = 6 → x=3; després y=2.

Despeja: 2x - x = 9 - 3 → x = 6.

b^2-4ac=0 dóna una única solució repetida.

Discriminant 16 - 20 = -4 negatiu.

Resolt: y = 5 - x; 3x + 2(5-x) = 12 → x=2, y=3.

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