Question

conjunto R - (0) conjunto verdade da equação:
x+1/x=10/3 é:

Answer 1

$x+ \frac{1}{x}=\frac{10}{3}\\\frac{x^2+1}{x}=\frac{10}{3}\\3x^2+3=10x\\3x^2-10x+3=0\\\Delta=b^2-4ac=100-4(3)(3)=100-36=64\\x=\frac{-b\pm\sqrt{\Delta}}{2a}\\\\\boxed{x'=\frac{10+8}{6}=3}\\\\x''=\frac{10-8}{6}=\frac{2}{3.2}=\boxed{\frac{1}{3}}$

Answer 2

x+1 = 10
  x       3
10x = 3(x+1)
10x = 3x + 3
10x - 3x = 3
7x = 3
  
   x = 3
         7