klockett: What is the solution set to 5x^4=5000x
Hey klockett!
There are 2 cases: either x is zero, or x is not zero.
If x is zero, we have a solution!
If x is not zero, we can divide both sides by x to get:
5x^3=5000
Divide both sides by 5:
x^3 = 1000
Take the cube root:
x = 10
So the solution set consist of x=0 and x=10.
Let's see if this forum can calculate it for us.
Reinout-g showed today how that can be done:
[input]5x^4=5000x[/input]
Hmm, we get a couple extra weird solutions with the letter "i" in them.
Let's ignore them!!
We only want normal numbers!