Question

resolva no conjunto IR 7/3x²+1/2x=x²

Answer 1

$\frac{7}{3} x^{2} + \frac{1}{2} x= x^{2} \implies \frac{7}{3} x^{2} - x^{2} + \frac{1}{2} x=0\implies (\frac{7}{3}-\frac{3}{3}) x^{2} + \frac{1}{2} x=0\\ \\ \frac{4}{3} x^{2} + \frac{1}{2} x=0\implies x(\frac{4}{3} x+\frac{1}{2})=0\implies x=0 \ ou \ \frac{4}{3} x+\frac{1}{2}=0\\ \\ \frac{4}{3} x+\frac{1}{2}=0\implies \frac{4}{3} x=-\frac{1}{2}\implies4x=-\frac{3}{2}\implies x=-\frac{3}{8}$