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solniwko [45]
3 years ago
11

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

Mathematics
1 answer:
ehidna [41]3 years ago
3 0

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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</span>\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.

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\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}

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