Question

What method is better to use to solve x^3-6x^2+6x=0?

Answer 1

u can factor the x first.

Answer 2

okay.

Answer 3

Likely will want quadratic formula after that.

Answer 4

I did that would it be 0, plus or equal to 6?

Answer 5

\[ \large x(x^2-6x+6)=0 \]

Answer 6

Could also complete the square on the quadratic:
x^2-6x+6=0
x^2-6x+9=3
(x-3)^2=3
x-3=±√3
So, the three solutions would be 0, and 3±√3.

Answer 7

Ohhh i see that makes sense! would you still use that method or something else to find the solution to the equatioin x^4-64=0?