Question

Como resolver a equação
3/2(x-4) = 1,5x-4

Answer 1

$\frac{3}{2(x-4)} = \frac{15x}{10} -4=\ \textgreater \ \frac{3}{2(x-4)} = \frac{3x}{2} -4$
MMC =2(x-4)
[tex] 3=3x(x-4)-4.2(x-4)=\ \textgreater \ 3=3x^2-20x-8x+32 =\ \textgreater \ \\ 3x^2-12x-8x+29=0=\ \textgreater \ 3x^2-20x+29=0
Δ = 400 - 348 = 52
x=(20-2√13)/6 = (10-√13)3  ou
x = (20 + 2√13)/6 = (10 +√13)/3