How do you find the roots, real and imaginary, of #y=x(x-1)-(3x-1)^2 # using the quadratic formula?
Expand and simplify to find the equation in standard form, then apply the quadratic formula to obtain the roots:
The quadratic formula can be used with quadratic equations in standard form,
First expand and simplify the given equation to rearrange it into standard form.
This equation is now in standard form, where
To solve for the roots of the equation, set
Apply the quadratic formula: