10.6B Best Method

Standard Form:

Square Root Method: 1. When b = 0 2. Get x 2 alone 3. Square root both sides 4. plus/minus answer

Factoring: 1. Hockey stick and t-chart 2. Split, Set, SWYG

Quadratic Formula: 1. Can’t factor 2. Put in standard form 3.

Example 1: Tell what method you would use to solve the quadratic equation and solve. Explain your choice.

a) Method: __________________ Reason: _____________________________ Solution: Quadratic formula Can’t factor

a b c 16-5 –6 ± (6) 2 –4(1) (-5) 2 (1) x = -6 ± x = -6 ± 56 2 =

-6 ± = = –6 ± 2 x = =

b) Method: __________________ Reason: _____________________________ Solution: factor Hockey stick x x+ 4

c) Method: __________________ Reason: _____________________________ Solution: t-chart factor 5x x +4 +1

d) Method: _____________________________ Reason: _____________________________ Solution: Square root method b = 0

e) Method: __________________ Reason: _____________________________ Solution: t-chart factor x x-2 +3

f) Method: __________________ Reason: _____________________________ Solution: Square root b = 0

g) Method: __________________ Reason: _____________________________ Solution: Quadratic formula Can’t factor

a b c (-6) ± (-6) 2 –4(1) 2 x = 6 ± 36–4 2 x = 6 ± 32 2 =

6 ± = 6 ± 2 x = =

h) Method: __________________ Reason: _____________________________ Solution: Quadratic formula Can’t factor

a b c (-4) ± (-4) 2 –4(1) 2 x = 4 ± 16–4 2 x = 4 ± 12 2 =

4 ± = 4 ± 2 x = =

h) Method: __________________ Reason: _____________________________ Solution: factor Hockey stick and t-chart x x2x2 + 4x + 3 x x+1 +3