One number is equal to the square of another. find the numbers if both are positive and their sum is 4242.

Question

Mathematics

Freddy Parsons

2 April, 22:57

One number is equal to the square of another. find the numbers if both are positive and their sum is 4242.

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Answers (1)

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Yaritza · Answer 1

Let one number be x.

The other number is x².

Find x:

x² + x = 42

x² + x - 42 = 0

(x + 7) (x - 6) = 0

x = - 7 or x = 6

x = - 7 is rejected since the question asked for a positive number.

Find the numbers:

one number = x = 6

the other number = 6² = 36

Answer: 6 and 36