Find and if:
My idea was to simplify the expression to the normal form (The problem is that i don't know how). And then, by De Moivre's formula I can find the roots.
Any idea on how to simplify the formula and reach the normal form?
Thank you!
Find and if:
My idea was to simplify the expression to the normal form (The problem is that i don't know how). And then, by De Moivre's formula I can find the roots.
Any idea on how to simplify the formula and reach the normal form?
Thank you!
I think you might do better to use the "polar form", . That way
.
Put that last number into polar form: its magnitude is and its argument is [tex]arctan\left(-\frac{6\sqrt{2}}{12}\right)= arctan\left(-\sqrt{2}{2}}\right) .
Now solve and . The real and imaginary parts are and , respectively.