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The square of a natural number is 24 more than 5 times the number. What is the number?
Wiki User
∙ 14y ago
Suppose the number is x. Then x2 = 5x + 24
or x2 - 5x - 24 = 0
Then x2 - 8x + 3x - 24 = 0 or x(x - 8) + 3(x - 8) = 0
that is (x - 8)*(x + 3) = 0
so that x = 8 or x = -3
Since the number is a natural number, it cannot be -3, and so the answer is 8.
Wiki User
∙ 14y ago
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