X equals negative b plus or minus the square root of b squared minus four times a times c over two times a.
Correct, but you didn’t show your work.
1. ax[squared] + bx + c = 0
2. ax[squared] + bx = -c
3. x[squared] + bx/a = -c/a
4. x[squared] + bx/a + b[squared]/4a[squared] = b[squared]/4a[squared] - c/a
5. x[squared] + bx/a + b[squared]/4a[squared] = b[squared]/4a[squared] - c/a X 4a/4a
6. x[squared] + bx/a + b[squared]/4a[squared] = (b[squared]- 4ac)/4a[squared]
7. x + b/2a = (square root of b[squared] - 4ac)/2a
8. x = {-b plus or minus (square root of b[squared] - 4ac)}/2a
If you want to know where b[squared]/4a[squared] came from in Step 4, you have to know how to “Complete The Square” of x[squared] + bx.