Question

Решите уравнение: 5z^2(z + 2) = 4z^2 - z^4

Answer 1

-2, -3, 0

Объяснение:

$5z^{2} * (z+2) = 4z^{2} - z^{4} \\5z^{3} + 10z^{2} = 4z^{2} - z^{4}\\ 5z^{3} + 10z^{2} - 4z^{2} + z^{4} = 0\\z^{2}( 5z + 6 + z^{2}) = 0\\1) z^{2} = 0; z=0\\2) 5z + 6 + z^{2} = 0; D = 25-24=1; \\ z1 = \frac{-5+1}{2}=-2 z2 = \frac{-5-1}{2}=-3$