SOLUTION: chapter 5.6) factor completely. 48) x^2 + y^2 - 2xy chapter 5.8) 2) Framing. A rectangular picture frame is three times as long as it is wide. The area of the frame is 588 i

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: chapter 5.6) factor completely. 48) x^2 + y^2 - 2xy chapter 5.8) 2) Framing. A rectangular picture frame is three times as long as it is wide. The area of the frame is 588 i      Log On

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Question 63516This question is from textbook Introductory Algebra
: chapter 5.6) factor completely.
48) x^2 + y^2 - 2xy
chapter 5.8)
2) Framing. A rectangular picture frame is three times as long as it is wide. The area of the frame is 588 in^2. Find the dimensions of the frame.
chapter 5.8)
36) The sum of the squares of two consecutive odd positive integers is 130. Find the integers.
chapter 6.2) Divide and simplify
36) 5t^2+5t-30/10t+30 divided by 2t^2-8/6t^2+36t+54
 This question is from textbook Introductory Algebra

Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B+y%5E2+-+2xy
x%5E2+-+2xy+%2B+y%5E2
%28x-y%29%28x-y%29
%28x-y%29%5E2

Question 2
If the width is x then the length must be 3 x. The area will then be 3x^2.
But the area is actually 588 in^2.
3x%5E2=588
3x%5E2%2F3=588%2F3
x%5E2=196
x=sqrt%28196%29
Width = 14 inches and length = 42 inches

Question 3
if the first number is x then the next odd number will be x+2
x%5E2%2B%28x%2B2%29%5E2=130
x%5E2%2Bx%5E2%2B4x%2B4=130
2x%5E2%2B4x%2B4=130
2x%5E2%2B4x%2B4-130=130-130
2x%5E2%2B4x-126=0
x%5E2%2B2x-63=0
%28x%2B9%29%28x-7%29=0
So x=7 or x=-9
The two numbers are 7 and 9 or -9 and -7.