you are given the equation , which models the position of the weight, with respect to time. you need to find the amplitude of the oscillation, the angular frequency, and the initial conditions of the motion. you will also be required to find the time(s) at which the weight is at a particular position. to find this information, you need to convert the equation to the first form, .

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

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step-by-step explanation: