Question

решите уравнение х^6=(19x-90)^3

Answer 1

x^6=6859x³-97470x²+2924100x-729000

Answer 2

$x^{6}=(19x-90)^{3}\\ x^{2}=19x-90 \\ - x^{2} +19-90\\ x^{2} -19+90$
По Виета
$\left \{ {{ x_{1}+ x_{2} =19} \atop { x_{1} x_{2} =90}} \right.$
$x_{1}=10\\ x_{2}= 9$