SOLUTION: Find the zeros (or roots) {{{x^3-8=0}}} express complex numbers in terms of i

Algebra.Com
Question 340712: Find the zeros (or roots)
express complex numbers in terms of i

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Find the zeros (or roots)
express complex numbers in terms of i

Factor the expression as the difference of cubes:



Set each factor = 0

Setting 
Solution: 

Setting the second factor = 0:



 

 

















The three solutions are

, , 



Edwin

RELATED QUESTIONS

what are the complex zeros of y=X^3 I think the real zero is "0" and the other 2... (answered by solver91311)
3. Find the complex zeros of the polynomial function. Write f in factored form.... (answered by Edwin McCravy)
Find the complex zeros of the polynomial function. Write f in factored form.... (answered by ewatrrr)
find the complex zeros of the polynomial function. write f in factored form. f(x) =x^3 (answered by ikleyn)
a)Solve {{{7x+x(x-3)=0}}} -What are the solutions? x=____ (Simplify your answer. Type (answered by scott8148,ewatrrr)
Solve 3x^2-7x-13=0 What are the solutions? X=___(Type exact solutions using radicals as (answered by jorel1380)
find all complex cube roots of -i. in other words find all complex solutions of... (answered by Alan3354)
Help please, thank you Solve the equation x^2 + 19 =0 The solution set is x =? (use... (answered by stanbon)
Solve the equation x^2-4x=-10 and express the roots in terms of... (answered by Fombitz)