Question

x²/2 - 2x/3 = 1/2 resolver a equação

Answer 1

x²/2 - 2x/3 = 1/2
x²/2 - 2x/3 - 1/2 = 0               mmc = 6
3x²/6 - 4x/6 - 3/6 = 0          corta o 6
3x² - 4x - 3 = 0

Bhaskara
b² - 4ac
-4² -4.3.-3
16 + 36
52 = delta

x = -b +/- √Δ / 2a
x = -(-4) +/- √52 / 2.3
x = 4 +/- √52 / 6

Fatorando 52:
52       2
26       2
13       13
1

x = 4 +/- √52 /6
x = 4 +/- √2².13 /6
x = 4 +/- 2√13 /6
x = 2 +/- √13/3

x1 = 2+√13/3
x2 = 2-√13/3

Bons estudos