SOLUTION: Find all solutions to x^6+7x^3-8=0

Question 190611This question is from textbook Elementary and Intermediate Algebra
: Find all solutions to x^6+7x^3-8=0 This question is from textbook Elementary and Intermediate Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all solutions to x^6+7x^3-8=0
------------------------
It's a quadratic with the variable being "x^3".
----------------------
(x^3)^2 + 7x^3 -8 = 0
Factor:
(x^3+8)(x^3-1) = 0
-----
x^3+8 = 0 or x^3-1 = 0
(x+2)(x^2-2x+4) or (x-1)(x^2+x+1)
x = -2 or x = 1 ; Use the quadratic formula to find
the zeroes of x^2-2x+4 and of x^2+x+1
-----------------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
Find all real solutions... (answered by solver91311)

Solve for x by factoring. Show all real solutions.... (answered by mhusband,josgarithmetic,ikleyn,greenestamps)

solve the equation. give all solutions (real or complex). x^6... (answered by josgarithmetic)

Find all solutions to x^4 - 7x + 12... (answered by ikleyn)

Find all real or imaginary solutions to the eqyation.... (answered by MathLover1)

Find all of the real solutions of the polynomial equation. 2x^4 + 7x^3 - 26x^2 + 23x... (answered by Fombitz)

find all solutions... (answered by Alan3354)

Find all real solutions of the equation.... (answered by josgarithmetic)

Can you please help me solve this problem: Find all solutions to x^3+6x^2+11x+6=0 if... (answered by stanbon)