hamilclips3995 hamilclips3995

06-02-2019
Mathematics

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The sum of the square of a positive number and the square of 2 more than the number is 202. What is the? number?

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mathecoach mathecoach

06-02-2019

Answer:

x^2 + (x + 2)^2 = 202

x^2 + x^2 + 4x + 4 = 202

2x^2 + 4x + 4 = 202

2x^2 + 4x - 198 = 0

x^2 + 2x - 99 = 0

x = -2/2 ± √((2/2)^2 - (-99))

x = 9 or x = -11

-11 is not a positive number so the number is 9.

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