SOLUTION: Find all zeroes of each equation 1. x^5-3x^4-15x^3-45x^2-16x+48=0 2. x^3-x^2-5x-5=0 3. 7x^2-144=-x^4 Please help. I've tried figuring them out for hours and I cannot ge

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Question 671904: Find all zeroes of each equation
1. x^5-3x^4-15x^3-45x^2-16x+48=0
2. x^3-x^2-5x-5=0
3. 7x^2-144=-x^4
Please help. I've tried figuring them out for hours and I cannot get it.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
1. You need to use a calculator since it's impossible to this by hand.
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2.

Are you sure it's not

-x^3-x^2-5x-5=0

or

x^3-x^2-5x+5=0

or is it something else entirely?
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3.







Let



or

or

-------------------------------------------------------

If , then...





or

or

-------------------------------------------------------

If , then...





but it's impossible for you to multiply a real number by itself to get a negative number.

So there are NO real numbered solutions in this equation here.

We can find the complex solutions to get



or

or


So the only real numbered solutions are or

If you want to throw in the complex solutions, then you would add or , but it will depend on the teacher/book.

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