2.
Find the values of k for which the equation x² = 2kx – 9 has real and equal
roots.

k=3 or k= -3

Step-by-step explanation:

Please see attached picture for full solution.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are