I have placed this equation into the quadratic formula:
To get:
Which simplifies to:
and
Now how do I simplify them to:
and
Can someone show me?
I think there is something wrong with your work so far. You're going to get complex numbers, which will never simplify down to the desired results. Double-check your simplification of the discriminant inside the square root, there.
[EDIT]: I also don't think your results at the end are the roots of the polynomial. Try plugging them in and see if they satisfy the original equation.
Then I suggest you check again.
is approximately 3.53533, is approximately 1.87083, and is approximately 13.22876. is .
Putting x= 3.53533 into that gives -33.54313 while putting x= 1.87083 into it gives 24.74118. Neither satisifies the equation.
If a and b are roots of a polynomial of the form (x- a)(x- b)= 0 then we have
Now, with and , that would be . But that is NOT what you have- you have an extra "2" multiplying .
Here:
Quadratic formula solve equation - Wolfram|Alpha
I have checked 4 times now and the roots are correct.
I just want to know how to simplify it now.