PLEASE HELP ME WITH THIS MATH HOMEWORK! A. Find the discriminant of the following equations and determine how many and what kind of solutions each has. Be sure to show the steps as they are done in the lesson.

1. X2 – 5x + 7 = 0

2. 3x2 - 8 = -2x

B. Solve the following quadratics equations using the quadratic formula. Be sure to show all the steps as they are done in the lesson. Write the answers as simplified expressions, NOT rounded decimals.

3. 6x2 + x – 15 = 0

4. 3x2 + 2x = 4

5. (x - 1)2 + 2 = 0

C. Determine the solutions.

6.
A. One real solutions at x = 1
B. Two real solutions at x = -2 and x = 4
C. No real solutions, but 2 complex solutions
D. One real solution at x = 0
E. Two real solutions at approximately x = -1.5 and x = 3.5
F. Two real solutions at x = -4 and x = 6

7.
A. One real solutions at x = 2
B. Two real solutions at x = -2 and x = 2
C. No real solutions, but 2 complex solutions
D. One real solution at x = 0
E. Two real solutions at x = -1 and x = 1
F. Two real solutions at approximately x = -1.5 and x = 1.5

D. Give an example.
8) Give an example of a quadratic equation which would have only 1 solution. Write the equation in standard form. (You may not use an example from this lesson or any other lesson in this course.)