8/x-5 + 1/x-1 = 3 Equação de 2° grau
8/x-5 + 1/x-1 = 3 Equação de 2° grau
1 Resposta
resposta:
x ' = (27 + \/393]/6
x " = (27 - \/393]/6
Explicação passo-a-passo:
8/(x-5) + 1/(x-1) = 3
Equação de 2° grau
Mmc = (x-5).(x-1)
[8.(x - 1) + 1.(x - 5)]/(x - 5).(x - 1) = 3.(x - 5).(x-1)/(x-5).(x-1)
8.(x-1) + x - 5 = 3(x-5).(x-1)
8x - 8 + x - 5 = (3x-15).(x-1)
9x - 13 = 3x^2 - 3x - 15x + 15
9x - 13 = 3x^2 - 18x + 15
0 = 3x^2 - 18x - 9x + 15 + 13
0 = 3x^2 - 27x + 28
3x^2 - 27x + 28 = 0
a = 3; b = - 27; c = 28
/\ = b^2 - 4ac
/\ = (-27)^2 - 4.3.28
/\ = 729 - 12.28
/\ = 729 - 336
/\ = 393
x = [ - (-27) +/- \/393] / 2.3
x = [ 27 +/- \/393]/6
R.:
x ' = (27 + \/393]/6
x " = (27 - \/393]/6
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