SOLUTION: the sum of the squares of two consecutive odd numbers is 130. derive an equation in terms of x to represent this problem. solve for the two consecutive odd numbers

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Question 983142: the sum of the squares of two consecutive odd numbers is 130. derive an equation in terms of x to represent this problem. solve for the two consecutive odd numbers
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
n, an integer

Two consecutive odd numbers, 2n+1, 2n+3

The description, highlight%28%282n%2B1%29%5E2%2B%282n%2B3%29%5E2=130%29

Beginning of steps to solve
4n%5E2%2B4n%2B1%2B4n%5E2%2B12n%2B9-130=0
8n%5E2%2B16n%2B10-130=0
8n%5E2%2B16n-120=0
n%5E2%2B2n-15=0


n=3 so use this to evaluate the two numbers.

Answer by MathTherapy(10858) About Me  (Show Source):
You can put this solution on YOUR website!

the sum of the squares of two consecutive odd numbers is 130. derive an equation in terms of x to represent this problem. solve for the two consecutive odd numbers
Let smaller number be S

Then larger number = S + 2

Equation formed: S%5E2+%2B+2S+-+63+=+0

S, or smaller number = highlight_green%287%29

Larger number: highlight_green%289%29