.
For each equation 1 - 4 you must:
1. To write it in the general form = 0.
2. To calculate the discriminant D = .
3. If D > 0 then the equation has two different real roots.
If D = 0, then the equation has only one real root.
If D < 0, then the equation does not have real roots.
Instead, it has two complex roots.
Do not try to shift your work to our shoulders.
Do it yourself.
Do not forget to send "Thank you" to me for clear instructions.
And the last note: what you called "determinant" in your post, is actually "discriminant".
Use math terms correctly.
On solving quadratic equations, see the lessons
- Introduction into Quadratic Equations
- PROOF of quadratic formula by completing the square
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic
"Quadratic equations".