DashboardNewsSettingsHelp
Get Premium
Dashboard
Dashboard Sign out
McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
8. Differences of Squares
Continue to next subchapter
search

Exercise 51 Page 62

Notice that the given equation follows a special pattern and it can be factored as a difference of squares.

- 3/8, 3/8

Practice makes perfect

We want to solve the given equation by factoring. Let's consider our equation. 4y^2-9/16=0 Notice that this equation follows a special pattern. It can be factored as a difference of squares. Let's factor the equation!

4y^2-9/16=0
WritePow

Write as a power

2^2y^2-(3/4)^2=0
ProdPowII

a^m b^m = (a b)^m

(2y)^2-(3/4)^2=0
FacDiffSquares

a^2-b^2=(a+b)(a-b)

(2y+3/4)(2y-3/4)=0

Now we are ready to use the Zero Product Property.

(2y+3/4)(2y-3/4)=0
â–¼
Solve using the Zero Product Property
ZeroProdProp

Use the Zero Product Property

lc2y+ 34=0 & (I) 2y- 34=0 & (II)
SubEqn

(I): LHS-3/4=RHS-3/4

l2y=- 34 2y- 34=0
AddEqn

(II): LHS+3/4=RHS+3/4

l2y=- 34 2y= 34

(I), (II): LHS * 1/2=RHS* 1/2

ly=- 34( 12) y= 34( 12)

(I), (II): Multiply fractions

ly=- 38 y= 38

We found that the solutions to the given equation are y=- 38 and y= 38. To check our answer, we will graph the related function, f(y)=4y^2- 916, using a calculator. Note that the calculator will use the variable x instead of y. Also, as 916=0.5625, we will use the decimal instead of the fraction.

We can see that the x-intercepts are - 38, or - 0.375, and 38 or 0.375. Therefore, our solutions are correct.

Subchapter links expand_more
arrow_right Exercises p.60-63
1
Exercises 2 (Page 60)
Exercises 3 (Page 60)
Exercises 4 (Page 60)
Exercises 5 (Page 60)
Exercises 6 (Page 60)
Exercises 7 (Page 60)
Exercises 8 (Page 60)
Exercises 9 (Page 60)
Exercises 10 (Page 60)
Exercises 11 (Page 60)
Exercises 12 (Page 60)
Exercises 13 (Page 60)
Exercises 14 (Page 60)
Exercises 15 (Page 61)
Exercises 16 (Page 61)
Exercises 17 (Page 61)
Exercises 18 (Page 61)
Exercises 19 (Page 61)
Exercises 20 (Page 61)
Exercises 21 (Page 61)
Exercises 22 (Page 61)
Exercises 23 (Page 61)
Exercises 24 (Page 61)
Exercises 25 (Page 61)
Exercises 26 (Page 61)
Exercises 27 (Page 61)
Exercises 28 (Page 61)
Exercises 29 (Page 61)
Exercises 30 (Page 61)
Exercises 31 (Page 61)
Exercises 32 (Page 61)
Exercises 33 (Page 61)
Exercises 34 (Page 61)
Exercises 35 (Page 61)
Exercises 36 (Page 61)
Exercises 37 (Page 61)
Exercises 38 (Page 61)
Exercises 39 (Page 61)
Exercises 40 (Page 61)
Exercises 41 (Page 61)
Exercises 42 (Page 61)
Exercises 43 (Page 61)
Exercises 44 (Page 61)
Exercises 45 (Page 61)
Exercises 46 (Page 61)
Exercises 47 (Page 61)
Exercises 48 (Page 62)
Exercises 49 (Page 62)
Exercises 50 (Page 62)
Exercises 51 (Page 62)
Exercises 52 (Page 62)
Exercises 53 (Page 62)
Exercises 54 (Page 62)
Exercises 55 (Page 62)
Exercises 56 (Page 62)
Exercises 57 (Page 62)
Exercises 58 (Page 62)
Exercises 59 (Page 62)
Exercises 60 (Page 62)
Exercises 61 (Page 62)
Exercises 62 (Page 62)
Exercises 63 (Page 62)
Exercises 64 (Page 63)
Exercises 65 (Page 63)
Exercises 66 (Page 63)
Exercises 67 (Page 63)
Exercises 68 (Page 63)
Exercises 69 (Page 63)
Exercises 70 (Page 63)
Exercises 71 (Page 63)
Exercises 72 (Page 63)
Exercises 73 (Page 63)
74 engineering
75 engineering
76 engineering
77 engineering
78 engineering
79 engineering
80 engineering
81 engineering
82 engineering
83 engineering
Exercises 84 (Page 63)
Exercises 85 (Page 63)
Exercises 86 (Page 63)
Exercises 87 (Page 63)
Exercises 88 (Page 63)
Exercises 89 (Page 63)