SOLUTION: Two positive numbers differ by 5 and their square roots differ by 1. Find the numbers

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Question 190574This question is from textbook Elementary and Intermediate Algebra
: Two positive numbers differ by 5 and their square roots differ by 1. Find the numbers This question is from textbook Elementary and Intermediate Algebra

Answer by Alan3354(69443) About Me  (Show Source):
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Two positive numbers differ by 5 and their square roots differ by 1. Find the numbers
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Call them x^2 and y^2
x^2 + 5 = y^2
x + 1 = y
Sub for y into 1st eqn
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x^2 + 5 = (x+1)^2 = x^2 + 2x + 1
5 = 2x + 1
2x = 4
x = 2
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y = 3
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The numbers are 4 and 9