Show work/ explain it

9514 1404 393

  $68.00

Step-by-step explanation:

Let s represent the opening price. Then the closing price is ...

  s - 3.25% × s = $65.79

  s(1 -0.0325) = $65.79 . . . . collect terms

  0.9675s = $65.79 . . . . . . . simplify

  s = $65.79/0.9675 . . . . . . .divide by the coefficient of s

  s = $68.00 . . . . . the opening stock price

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.