Factor the given expression. Then use the zero product rule and the quadratic formula to solve the problem. There should be three solutions to the equation.
x^3-2197
x=
X^3-2197
x^3-2197 = 0
x^3 = 2197Take cube root of both sides:
X = 13.
x-13 = 0
(x^3-2197)/(x-13)
Use synthetic Division and get:
x^2+13x+169
Factors: (x-13)(x^2+13x+169)
x^2+13x+169
Use Quad. Formula to solve for X and
get:
X = -6.5+11.25i, and -6.5-11.25i.