SOLUTION: Given that the quadratic equation x^2-3x+1=0 has 2 different roots, create a quadratic equation, so that each of its roots will be 1 more than the corresponding root of the given q

Question 839474: Given that the quadratic equation x^2-3x+1=0 has 2 different roots, create a quadratic equation, so that each of its roots will be 1 more than the corresponding root of the given quadratic equation.
Answer by josh_jordan(263) (Show Source): You can put this solution on YOUR website!
The first thing we need to do is find the roots of .

You will notice that this polynomial will not factor evenly, so we will have to find the roots by using the quadratic formula:

Doing this will give us our two roots: and

To find a new quadratic equation with roots that are one more than each of the roots of our original equation, we need to add 1 to each of the original roots:

= and

=

Next, we will put these roots into factored form:

Finally, we need to expand our factors by multiplying via the FOIL method, which will give us our final answer:

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