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

Jamie Solis

6 June, 16:27

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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Tyrell Arnold · 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