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What is the solution set to 5x^4=5000x
 Jan 29, 2014
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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!
 Jan 29, 2014

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