Question

o conjunto da soluçao (x²/3)-(3-x²/6)=1/2 ?

Answer 1

 (x²/3)-(3-x²/6)=1/2 
  x²/3 - 3 + x²/6 = 1/2 ---.MMC(3,6,2) = 6
 2x² - 18 + x² = 3
 3x² = 3 +18
 3x² = 21
 x² = 7 ----> x =+/-√7 
 S= {+√7,-√7)

Answer 2

$(\frac{x^2}{3}) \ - \ (3 \ - \frac{x^2}{6}) \ = \ \frac{1}{2} \\ \\ mmc \ (1, \ 6) \ = 6 \\ \\ (\frac{x^2}{3}) \ - \ (\frac{18 \ - \ x^2}{6}) \ = \ \frac{1}{2} \\ \\ mmc \ (2, \ 3, \ 6) \ = \ 6 \\ \\ 2x^2 \ - \ 18 \ + \ x^2 \ = \ 3$

$2x^2 \ + \ x^2 \ = \ 3 \ + \ 18 \\ \\ 3x^2 \ = \ 21 \\ \\ x^2 \ = \ 21 \ \div \ 3 \\ \\ x^2 \ = \ 7 \\ \\ x \ = \pm \ \sqrt\ \ 7$

$x \ = \pm \ \sqrt\ \ 7 \ \ } \\ \\ S \ = \ \{+ \ \sqrt\ 7 \ } \ ; \ - \ \sqrt \ - \ 7 \ } \ \}$