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Fiche d’exercices : Équations du second degré

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Équations du second degré
Niveau 2 · Solutions entières
Résous les équations.
1.
x2−16x+63=0x^{2} - 16x + 63 = 0
x1=x_1 =x2=x_2 =
2.
x2+5x−6=0x^{2} + 5x - 6 = 0
x1=x_1 =x2=x_2 =
3.
x2−2x−63=0x^{2} - 2x - 63 = 0
x1=x_1 =x2=x_2 =
4.
x2−3x−28=0x^{2} - 3x - 28 = 0
x1=x_1 =x2=x_2 =
5.
x2−11x+18=0x^{2} - 11x + 18 = 0
x1=x_1 =x2=x_2 =
6.
x2−10x+16=0x^{2} - 10x + 16 = 0
x1=x_1 =x2=x_2 =
7.
x2+6x+5=0x^{2} + 6x + 5 = 0
x1=x_1 =x2=x_2 =
8.
x2+7x+12=0x^{2} + 7x + 12 = 0
x1=x_1 =x2=x_2 =
9.
x2−12x=0x^{2} - 12x = 0
x1=x_1 =x2=x_2 =
10.
x2+7x=0x^{2} + 7x = 0
x1=x_1 =x2=x_2 =
Corrigé
Équations du second degré · Niveau 2 · Solutions entières
1.x1=9,  x2=7x_1 = 9,\; x_2 = 7
2.x1=1,  x2=−6x_1 = 1,\; x_2 = -6
3.x1=9,  x2=−7x_1 = 9,\; x_2 = -7
4.x1=7,  x2=−4x_1 = 7,\; x_2 = -4
5.x1=2,  x2=9x_1 = 2,\; x_2 = 9
6.x1=2,  x2=8x_1 = 2,\; x_2 = 8
7.x1=−1,  x2=−5x_1 = -1,\; x_2 = -5
8.x1=−4,  x2=−3x_1 = -4,\; x_2 = -3
9.x1=0,  x2=12x_1 = 0,\; x_2 = 12
10.x1=0,  x2=−7x_1 = 0,\; x_2 = -7