Outline: Solving Quadratics
Solve by factoring.
1. 3x2 – 8x = 16
2. 6x2 = 24x
3. 42x2 – 69x + 20 = 7x2 – 8
Solve by extracting square roots.
4. 4x2 + 49 = 0
5. 2(2x – 3)2 – 7 = -19
6. -8 – 8x2 = -31
8. x2 – 10x + 26 = 0
9. 10x2 + 4x + 77 = 9
11. 3x2 = 6x – 3
12. 4x2 + 4x – 8 = 1
14. -3x2 +5(2x + 1) = -8x2
15. ½(x + 4) = (x – 7)2
Solve by completing the square.
7. x2 + 6x – 59 = 0
Solve using the quadratic formula.
10. 9x2 – 11 = 6x
Solve using any method.
13. 2x(x + 5) = 4
Simplify each.
16. √−
81
25
17. √−2 ∙ √−8
18. 2𝑖 ∙ 6 ∙ 4𝑖
19. (3 − 5𝑖)(2 + 7𝑖)
20.
3−2𝑖
1−𝑖