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The sum of a number and its square is 1406. What is the number?

38
39
37
29
Explanation:

Let the number be x.

Then, x + $x^2$ = 1406

=> $x^2$ + x-1406 = 0

=> x = -1 + $-\sqrt(1-4 \times 1406)$/2

=> x = -1 + -75/2

=> x = -38 or x=37.

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