Find the root 4 squareroot 1 Select the correct choice below

Find the root ^4 squareroot -1 Select the correct choice below and. if necessary, fill in the answer box to com ^4 squareroot -1 = The root is not a real number.

Solution

x = (-1)^1/4

x^4 +1 =0

(x^2 + 1.414x +1)(x^2 -1.414x +1) =0

Solve each of the quadratic above:

x^2 +1.414x +1=0

x = (0.707+i*0.707) x = (0.707-i*0.707)

Now solve : x^2 -1.414x +1 =0

x = -0.707+i*0.707 , x = -0.707-i*0.707

Roots are are complex