I am working on quadratic equations and I have worked a problem down to 3 plus or minus the square root of 361 all over 2... what next?

(3 +or- sq.root 361)/2

(3 +or- 19)/2
From here you get the 2 following equations:
(3+19)/2 = 11
(3-19)/2 = -8

Thank you!

To simplify the expression 3 plus or minus the square root of 361 all over 2, you can simplify the square root of 361, then perform the addition/subtraction and division steps.

First, find the square root of 361, which is 19 (since 19 * 19 = 361).

Next, rewrite the expression as follows:
(3 + 19) / 2 (for the "plus" case)
(3 - 19) / 2 (for the "minus" case)

Now, perform the addition/subtraction and division:

For the "plus" case:
(3 + 19) / 2 = 22 / 2 = 11

For the "minus" case:
(3 - 19) / 2 = -16 / 2 = -8

Therefore, the simplified expression is:
For the "plus" case: x = 11
For the "minus" case: x = -8

So, the solutions for the quadratic equation are x = 11 and x = -8.