Simplify (7x - 1)³ (7x + 1)³
A sphere and a cube have the same surface area. The ratio of the volume of the sphere to that of the cube is:
\(\sqrt{π}\):\(\sqrt{6}\)
\(\sqrt{6}\) : \(\sqrt{π}\)
\(\sqrt{π}\) : 4\(\sqrt{3}\)
4\(\sqrt{3}\) : \(\sqrt{π}\)
Determine the positive value of k for which the equations x2 + kx + 64 = 0 and x2 - 8x + k = 0 will both have real roots.