Laplace inverse
(3s+4)/(s^3-2s^2 +7s-14)

Factoring the denominator gives

(Keep in mind that .)

Split up the given transform into partial fractions:

Recalling the frequency shift property,

we get

The remaining inverse transforms reduce to sines and cosines:

So we end up with

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.

the median is   36 orr sum like dat

step-by-step explanation: