Problema Solution

The square of a positive number is a 47 less than twice the square of the next consecutive positive number. What are the numbers?

Answer provided by our tutors

let 'x' represent the positive number, x>0


x + 1 is the next consecutive positive number


x^2 = 2(x+1)^2 - 47


by solving we find:


x = 5


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x + 1 = 5 + 1 = 6


the numbers are 5 and 6.