Question
If the sum of a number and its square is 156, then what
is the number?Solution
According to the question, x + x2 = 156 ⇒ x2 + x - 156 = 0 ⇒ x2 + 13x - 12x - 156 = 0 ⇒ x(x + 13) - 12(x + 13) = 0 ⇒ (x + 13)(x - 12) = 0 ∴ x = -13, 12 ∴ The positive number is 12.
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