368 alGEbra De mystif ieD

PRACTICE

Simplify the fraction.

1.^612
2

± =

2.^1227
6

± =

3.^248
4

± =

4.^20300
10

± =

5. −±
   −

(^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

5. −±
   −

=−± ⋅

−

=−±

−

=−±

−

(^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.

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