SOLUTION: The sum of the square of 2 number is 34. The first number is one less than twice the 2nd number. Find the number

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Question 841048: The sum of the square of 2 number is 34. The first number is one less than twice the 2nd number. Find the number
Answer by hamsanash1981@gmail.com(151) About Me  (Show Source):
You can put this solution on YOUR website!
let the second number be x and first number = 2x-1
%282x-1%29%5E2%2Bx%5E2+=+34
4x%5E2-4x+%2B1+%2Bx%5E2+-34+=+0
5x%5E2+-4x-33=0%29
5x%5E2-15x+%2B+11x-33=0
5x%28x-3%29%2B11%28x-3%29=0
%285x%2B11%29%28x-3%29=0
x=3
therefore the numbers are 5,3