Thanks will be given to those who help. I am in dire need of it too, for some problems. Here is my work:

1.Find the discriminant

-10x^2 - 6x + 5 = 0

-(-6)^2 -4(-10)(5)

(36 + 200)

236

236 is the discriminant.

2. Find the discriminant

2x^2 + 6x + 1 = 0

(6)^2- 4(2)(1)

(36 - 8)

28

28 is the discriminant

3. Could someone continue this and show me the complex solution, I

cannot calculate it and have been struggling with the complex number part for a long time. Here is what I have so far:

2x^2 - 5x + 4 = 0

x = -(-5)+_ SQRT((-5)^2 -4(2)(4))/2(2)

= 5 +_ SQRT(25 - 32)/4 = 5 +_SQRT(-7)/4

4. Could someone please show me how to solve these two (#4/#5)?

4x^2 - 5x - 6 <= 0

5. 2x^2 + 9x + 4 < 0

6. x^2 + 3x - 10 = 0 This one was solved using the quadratic formula, but I need to find the pair of numbers for: The product of two numbers is 10. One number is 3 more than the other number. What is the quadratic equation that models these numbers? How would I do this?

x = -(3) +_ SQRT((3)^2) - 4(1)(-10)/2(1)

= -3 +_ SQRT(9 + 40)/2 = -3 +_ SQRT(49)/ 2

= -3 +_7/2 = -3 - 7/2, -3 + 7/2

= -10/2, 4/2 = -5, 2

x = -5, x = 2

Thanks!