You can put this solution on YOUR website! Solve the rational equation
x^3/16 = x^6/2
---
Cross-multiply to get:
2x^3 = 16x^6
Rearrange:
16x^6 - 2x^3 = 0
Factor:
2x^3(8x^3-1) = 0
---
x = 0 or 8x^3-1 = 0
-------------
Solve 8x^3-1 = 0
Factor:
(2x-1)(4x^2+2x+1) = 0
x = 1/2 or 4x^2+2x+1 = 0
-------------
Sole 4x^2+2x+1 = 0
x = [-2 +- sqrt(4 - 4*4*1)]/2
x = [-2 +- sqrt(-12)]/2
x = [-2 +- 2isqrt(3)]/2
x = [-1 +- isqrt(3)]
--------------------------
Ans: x = -1+sqrt(3)i, x = -1-sqrt(3)i, x = 1/2 , x = 0 (multiplicity 3)
(