SOLUTION: finding possible rational roots, listing rational roots I know how to find the possible rational zeros for each function but i dont know how to do the second step which is to find

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Question 867164: finding possible rational roots, listing rational roots
I know how to find the possible rational zeros for each function but i dont know how to do the second step which is to find all rational zeros
f(x)=2x^2-x-2
I know that the possible rational zeros are +-1, +-2 +-1/2
I would appreaciate any help. Thanks.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
quadratic EQ ALWAYS works
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=17 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.28077640640442, -0.780776406404415. Here's your graph:

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