SOLUTION: A positive real number is 1 less than another. When 2 times the larger is added to the square of the smaller, the result is 51. Find the numbers. (If applicable, write your answ

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: A positive real number is 1 less than another. When 2 times the larger is added to the square of the smaller, the result is 51. Find the numbers. (If applicable, write your answ      Log On


   

Question 1077716: A positive real number is 1 less than another. When 2 times the larger is added to the square of the smaller, the result is 51. Find the numbers.
(If applicable, write your answers in the form p+qsquaredr
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let your two numbers be n and n-1. Then:
2n+nē-2n+1=51
nē=50
n=5√2
n-1=5√2-1
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