# Finding roots in an equation

## Homework Statement

show that the equation x^4+x^3-4x^2-1=0

## The Attempt at a Solution

I wasn't sure where to start. The minus one at the end really threw me off. I tried to factor by grouping by coul;dn't figure out what to do with the -1

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Have you learned the rational root test?

## Homework Statement

show that the equation x^4+x^3-4x^2-1=0
This equation has no "nice" roots. You might want to use a numerical approximation or have a look into http://en.wikipedia.org/wiki/Quartic_equation#Solving_a_quartic_equation". Last edited by a moderator:
Mark44
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## Homework Statement

show that the equation x^4+x^3-4x^2-1=0

## The Attempt at a Solution

I wasn't sure where to start. The minus one at the end really threw me off. I tried to factor by grouping by coul;dn't figure out what to do with the -1
What's the rest of the sentence?
show that the equation x^4+x^3-4x^2-1=0
Show that this equation does what?

Please give us the exact wording of the problem.