368 alGEbra De mystif ieD
PRACTICE
Simplify the fraction.
1.^612
2
± =
2.^1227
6
± =
3.^248
4
± =
4.^20300
10
± =
- −±
−
(^620) =
2
✔SOLUTIONS
1.^61 ± 2 2 =^64 ±⋅ 2 3 =^62 ± 2 3 =^23 ()± 2 3 =±^33
2.^1227
6
12 93
6
12 33
6
34 3
6
43
2
± = ±⋅= ± = ()± = ±
3.^248
4
2163
4
243
4
21 23
4
123
2
± = ±⋅= ± = ()± = ±
4.^20300
10
20 100 3
10
20 10 3
10
1023
10
± = ±⋅= ± = ()± =± 23
- −±
−
=−± ⋅
−
=−±
−
=−±
−
(^620) =±
2
645
2
625
2
23 5
2
() 35
Note that the negative of ± 5 is still ± 5.
Now that we can identify a, b, and c in the quadratic formula and can simplify
the solutions, we are ready to solve quadratic equations using the formula.
PRACTICE
Simplify the fraction.
1.^616161 ±
PRACTICE
Simplify the fraction.
still struggling
When using the quadratic formula, be careful to put all of −± −bb 2 4 ac over 2a.