One positive number is one more than another positrive number. The sum of the sqaures of the two numbers is 85. Find both positive numbers.

Question

Mathematics

Jaxon Leach

22 September, 10:48

One positive number is one more than another positrive number. The sum of the sqaures of the two numbers is 85. Find both positive numbers.

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Answers (1)

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Cullen Harvey · Answer 1

One number is x

second number is x+1

x² + (x+1) ²=85

x²+x²+2x+1=85

2x²+2x-84=0

x²+x-42=0

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

x=-7, x=6

we need positive number, so we take 6

x=6

x+1=7