Video Transcript
Solve the cubic equation 𝑥 cubed
equals eight for all rational numbers.
We recall that a rational number is
a number that can be expressed as the quotient or fraction of two integers. In this question, we need to solve
the equation 𝑥 cubed equals eight and we will do so by firstly taking the cube root
of both sides. We know that the cube root of 𝑥
cubed is simply equal to 𝑥. And since two cubed is equal to
eight, the cube root of eight is equal to two. The solution to the cubic equation
𝑥 cubed is equal to eight is therefore 𝑥 is equal to two.
