SOLUTION: solve the polynomial equation by using the zero product principle. x^3-27=0

Question 709451: solve the polynomial equation by using the zero product principle.
x^3-27=0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve the polynomial equation by using the zero product principle.
x^3-27=0
----
Factor:
(x-3)(x^2+3x+27) = 0
---
Solve the quadratic factor:
x^2 + 3x + 27 = 0
x = [-3 +- sqrt(9-4*27)/2
---
x = [-3 +- sqrt(-99)]/2
--
x = [-3+-3sqrt(11)i]/2 (2 complex number solutions)
x = 3 (the Real Number solution)
====================================
Cheers,
Stan H.
RELATED QUESTIONS
solve the polynomial equation by factoring and then using the zero product principle.... (answered by tommyt3rd)

solve the polynomial equation by factoring and then using the zero product principle... (answered by Fombitz)

5x^4-20x^2=0 solve the polynomial equation by factoring and then using the zero product... (answered by solver91311)

Solve the polynomial equation by factoring and then using the zero product principle. 3x (answered by Alan3354)

Solve the polynomial equation by factoring and using the zero product principle. I have... (answered by stanbon)

Solve the polynomial equation by factoring and then using the zero product principle (answered by srinivas)

Solve the polynomial equation by factoring and then using the zero product principle.... (answered by Earlsdon)

Solve the polynomial equation by factoring and then using the zero product principle:... (answered by mananth)

4y^3-2=y-8y^2 Solve the equation by factoring and using the zero product principle... (answered by Fombitz)