Algebramedium · Past Paper

The sum of a number and its square is 42. Find the number.

A6 or -7
B7 or -6
C6 or 7
D-6 or -7

✓ Correct Answer: A6 or -7

x + x^2 = 42 → x^2 + x - 42 = 0 → (x+7)(x-6) = 0 → x = -7 or 6.

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