A positive number, when decreased by 4, is equal to 21 times the reciprocal of the number. The number is:
Created: 8 months ago |
Updated: 8 months ago
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Let the number be x. Then, we have the equation:
x - 4 = 21 * (1 / x)
Multiplying both sides of the equation by x, we get:
x^2 - 4x = 21
Subtracting 21 from both sides of the equation, we get:
x^2 - 4x - 21 = 0
This quadratic equation can be factored as:
(x - 7)(x + 3) = 0
Therefore, the two possible solutions are x=7 and x=−3. Since the number is positive, the only possible solution is x=7.
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