Question

Determine quais são as raises da equação 3/2x²-3V2x-9=0

Answer 1

$\frac{3x^2}{2}-3\sqrt2x-9=0\\ \\ \Delta=(-3\sqrt2)^2-4.\frac{3}{2}.(-9)=18+54=72\\ \\ x=\frac{3\sqrt2\pm\sqrt{72}}{2*\frac{3}{2}}=\frac{3\sqrt2\pm6\sqrt2}{3}\\ \\ x_1=\frac{3\sqrt2-6\sqrt2}{3}=\frac{-3\sqrt2}{3}=-\sqrt2\\ \\ x_2=\frac{3\sqrt2+6\sqrt2}{3}=\frac{9\sqrt2}{3}=3\sqrt2$