Question

СРОЧНО НУЖНО РЕШИТЬ!!!!

Answer 1

$\displaystyle\bf\\3x^{2} -4x-2=0\\\\D=(-4)^{2} -4\cdot 3\cdot(-2)=16+24=40=(2\sqrt{10} )^{2} \\\\\\x_{1} =\frac{4-2\sqrt{10} }{6} =\frac{2-\sqrt{10} }{3} \\\\\\x_{2} =\frac{4+2\sqrt{10} }{6} =\frac{2+\sqrt{10} }{3} \\\\\\\Big|x_{2} -x_{1} \Big|=\Big|\frac{2+\sqrt{10} }{3} -\frac{2-\sqrt{10} }{3} \Big|=\Big|\frac{2+\sqrt{10} -2+\sqrt{10} }{3} \Big|=\\\\\\=\Big|\frac{2\sqrt{10} }{3} \Big|=\frac{2\sqrt{10} }{3}$