SOLUTION: Find two consecutive odd integers that the sum of whose squares is 130
(if there are 2 answers pls give both)
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Question 160300This question is from textbook Algebra & Trigonometry Structure and Method
: Find two consecutive odd integers that the sum of whose squares is 130
(if there are 2 answers pls give both)
This question is from textbook Algebra & Trigonometry Structure and Method
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Find two consecutive odd integers that the sum of whose squares is 130.
.
Let x = first consecutive odd integer
x+2 = second consecutive odd integer
.
x^2 +(x+2)^2 = 130
x^2 +(x^2+4x+4) = 130
2x^2+4x+4 = 130
2x^2+4x-126 = 0
x^2+2x-63 = 0
(x-7)(x-9) = 0
x = (7,9)
.
Solution: 7 and 9
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