- Solve the following by completing the square (be prepared to have imaginary roots) 1. x2+10x+29=0 2. x2+8x+16=0

3. x2-4x+22=0 4. 2x2-20x+53=0

Solve the following using the quadratic formula (be prepared to have imaginary roots)
5. x2+10x-19=0 6. 2x2-8x+15=0

7. 3x2-7x-6=0 8. 3x2-6x+7=0
Use the discriminant to identify whether the following quadratics have real or imaginary roots
9. 3x2+2x+18 10. 2x2-8x-14

11. x2-6x-13 12. 12x2-34x+24
- Operations with complex numbers
13. (7-i)+(2+10i)

14. (6+7i)+(8-i)

15. (-3-i)-(6-7i)

16. (1+4i)-(-16+9i)

17. 8i(10+2i)

18. (4-5i)(12+11i)

19. (-3-9i)(1+10i)

20. (2+7i)(8+3i)

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

hey there! : )

4y < -4

we need to isolate y. we can do this by simply dividing both sides by 4.

4y ÷ 4 > -4 ÷ 4

simplify.

y > -1

5 - y > 0

once again, we need to isolate y, so we can start off by subtracting 5 from both sides.

5 - y - 5 > 0 - 5

simplify.

-y > -5

divide both sides by -1.

** remember that when dividing any side by a negative, you must switch the sign! **

-y ÷ -1 < -5 ÷ -1

simplify.

y < 5

~hope i ! ~

your answer is #3 , 8 - 3 square root of 11