Question

calcule o valor de x na equação:

a) 5/x + x-12/x² - 2/3 = 0

b) 3/x - 4 = 6/2x

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Answer 1

a) 5/x + x-12/x² - 2/3 = 0, MMC = 3x²

15x+3(x-12)-2x²/3x² = 0

15x+3x-36-2x²/3x² = 0

18x-36-2x²/3x² = 0, simplificando

-2x²-36-2x² = 0

x²-9x+18 = 0, a = 1, b = -9, c = 18

∆ = 81-4.1.18

∆ = 81-72

∆ = 9

9+-√9/2

9+-3/2

x¹ = 9-3/2 = 6/2 = 3

x² = 9+3/2 = 12/3 = 6

S = {3,6}

b) 3/x-4 = 6/2x, simplificando

3/x-4 = 3x

-4 = 0

0

❤️❤️ Feito

20/09/22