1. 1B.1- Solving Quadratics:
Solve by Factoring
Solve by Square Roots

2. Put the equation in standard form. Factor!
Solve by Factoring
Put the equation in standard form.
Factor!
Set each factor equal to zero and solve.
Check your answers!!!
Standard Form of a Quadratic Equation:
ax2 + bx + c = 0

3. Solve by Factoring (a=1)
1. x2 – x – 56 = 0
x = -7 x = 8

4. Solve by Factoring (a=1)
2. 8x + x2 + 7 = 0
x = -7 x = -1

5. Solve by Factoring (a=1)
3. n2 – 11n + 10 = 0
n = 10 n = 1

6. Solve by Factoring (GCF)
4. 3x2 + 9x – 54 = 0
x = -6 x = 3

7. QUESTIONS??

8. Solve by Factoring (a > 1)
5. 2x2 + x – 15 = 0
x = -3 x = 5/2

9. Solve by Factoring (a > 1)
6. 4x2 + 21x = -5
x = -5 x = -1/4

10. Solving with Square Roots
Get x2 or the binomial squared by itself
Take the square root of BOTH sides of the equal sign
Don’t forget the  sign
Simplify
Check your answers!!

11. Solve by Taking Square Roots
X = ± 2i

12. Solve by Taking Square Roots
X = ± 3 2

13. Solve by Taking Square Roots
X = ± 3

14. Solve by Taking Square Roots
X = -4 ± 3 2

15. Solve by Taking Square Roots
5. 5(x – 4)2 = 125
X = -1 and 9

16. Solve by Taking Square Roots
x2 = 243
X = ± 3i 3