SOLUTION: Tom discovered that if he sums the suqares of a number and another number which is one less than twice the first number the result is two. Find Tom's numbers.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tom discovered that if he sums the suqares of a number and another number which is one less than twice the first number the result is two. Find Tom's numbers.       Log On


   

Question 766656: Tom discovered that if he sums the suqares of a number and another number which is one less than twice the first number the result is two. Find Tom's numbers.
Answer by stanbon(75887) About Me  (Show Source):
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Tom discovered that if he sums the suqares of a number and another number which is one less than twice the first number the result is two. Find Tom's numbers.
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1st: x
2nd: 2x-1
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Equation:
x^2 + (2x-1)^2 = 2
x^2 + 4x^2 -4x+1 = 2
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5x^2 -4x -1 = 0
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(5x + 1)(x-1) = 0
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x = -1/5 or x = 1
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If 1st = x = -1/5
Then 2nd = 2x-1 = -7/5
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If 1st = x = 1
Then 2nd = 2x-1 = 1
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Cheers,
Stan H.