SVP Urgent ! Exercice de DM: Résoudre les équations suivantes1)2)3)4).... Pergunta de ideia deOneesan

April 2019 1 71 Report

SVP Urgent ! Exercice de DM: Résoudre les équations suivantes

1) $x^{2} + 13=48$
2) $7 x^{2} -11=3 x^{2} +13$
3) $(5x-2) ^{2} =36$
4) $(3x+2) ^{2} = (5x-4) ^{2}$

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Omnes Salut,

x² + 13 = 48
x² = 48 - 13
x² = 35
x² - 35 = 0
(x+ $\sqrt{35}$ )(x- $\sqrt{35}$ ) = 0
x - $\sqrt{35}$ = 0
x = $\sqrt{35}$
x + $\sqrt{35}$ = 0
x = - $\sqrt{35}$

7x² - 11 = 3x² + 13
7x² -3x² = 13 +11
4x² = 24
4x² - 24 = 0
(2x - $\sqrt{24}$ )(2x+ $\sqrt{24}$ ) = 0
2x - $\sqrt{24}$ = 0
2x = $\sqrt{24}$
x = $\sqrt{6}$
2x+ $\sqrt{24}$ = 0
2x = - $\sqrt{24}$
x = - $\sqrt{6}$

(5x-2)² = 36
(5x-2)² - 36 = 0
(5x-2+6)(5x-2-6) = 0
(5x +4)(5x-8) = 0
5x + 4 = 0
5x = -4
x = -4/5

5x - 8 = 0
5x = 8
x = 8/5

(3x+2)² = (5x-4)²
(3x+2)² - (5x-4)² = 0
[(3x + 2) - (5x-4)][(3x+2)+(5x-4)] = 0
(3x+2-5x+4)(3x+2+5x-4) = 0
(8x + 6)(8x -2) = 0
2(4x+3)(8x-2) = 0
4(4x+3)(4x-1) = 0
4x + 3 = 0
4x = -3
x = -3/4
4x - 1 = 0
4x = 1
x = 1/4

Bonne soirée !

1 votes Thanks 2

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