Rearrange in terms of x

[mikexz]

Rearrange in terms of y: x^3 +y^3 = 0


My attempt:

x^3 = -y^3
? there's nothing I can do now since I can't take the square root of a negative number???

-solutions at the back says it's x=-y but that doesn't make sense
help?

 

[Deleted member 4993]

Rearrange in terms of y: x^3 +y^3 = 0


My attempt:

x^3 = -y^3
? there's nothing I can do now since I can't take the square root of a negative number???

But you'll take CUBE root of negative number - which would be negative

since

(-y) * (-y) * (-y) = -y^3

then

$\displaystyle ^3\sqrt{-y^3} \, = -y$

-solutions at the back says it's x=-y but that doesn't make sense
help?