SOLUTION: Does anyone know how to go about this problem? The difference of two positive numbers is 3 and the sum of their squares is 65. Find the numbers.

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Question 214333: Does anyone know how to go about this problem? The difference of two positive numbers is 3 and the sum of their squares is 65. Find the numbers.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
let the numbers be and
given:
(1)
(2)
From (1),





solve using quadratic equation









and

(can't use negative result)


The numbers are 4 and 7
check:
(2)


OK



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