Question

Resolva a equação irracional abaixo. (x+1/x-5=7)

Answer 1

x + [1/(x-5)] = 7

{[x.(x-5)]+1}/(x-5)=7
x^2 - 5x +1=7.(x-5)
x^2 - 5x +1 = 7x-35
x^2 -12x +36 = 0

a=1, b=-12, c=+36

delta = b^2 - 4.a.c
delta = (-12)^2 -4.1.36
delta = 144-144
delta = 0

x = [-b +- raiz delta)/2a]
x = [-(-12) +- raiz de 0]/2.1
x=12/2
x=6