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