Question

what do you get when you solve 1+8zsquared=4z

Answer 1

Lillatt, first you need to move the 4z over to the other side to make the problem easier to solve.
\[8z^2-4z+1 = 0\] now you will want to see if you can factor it.

If it's nothing coming to you right away you can always use the quadratic formula. And solve for Z.

Answer 2

Using quadratic formula : you get 1/4-i/4, and 1/4 +i/4

Answer 3

are you working with real numbers? if so there is no solution

Answer 4

otherwise use
\[x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\] with
\[a=8,b=-4,c=1\] and you will get a negative number inside the radical