Question

x+1/x = 6
x^2+1/x^3 = 84
x^3+1/x^2 = ?​

Answer 1

Step-by-step explanation:

=sin2(4π−x)+sin2(4π+x)=[sin(4π−x)]2+[sin(4π+x)]2=[sin4πcosx−cos4πsinx]2+[sin4πcosx+cos4πsinx]2=(sin4πcosx)2+(cos4πsinx)2+(sin4πcosx)2+(cos4πsinx)2=2(sin4π

Answer 2

Answer:

81x²

Step-by-step explanation:

$x + \frac{1}{x} = 6 \\ {x}^{2} + 1 = 6x \\ {x}^{2} = 6x - 1$

${x}^{2} + \frac{1}{ {x}^{3} } = 84 \\ {x}^{5} + 1 = 84 {x}^{3}$

${x}^{3} + \frac{1}{ {x}^{2} } = \\ {x}^{5} + 1 = {x}^{3} \\ 84 {x}^{3} - 6x - 1 = 81 {x}^{2}$