Select the correct answerA positive number when decreased by 4 is equal to 21 times the reciprocal of the number. Find the number?Options191287
Question
Select the correct answerA positive number when decreased by 4 is equal to 21 times the reciprocal of the number. Find the number?Options191287
Solution
Let's denote the number as x.
According to the problem, we have the equation:
x - 4 = 21 * (1/x)
To solve this equation, we can first multiply both sides by x to get rid of the fraction:
x^2 - 4x = 21
Then, we can rearrange the equation to make it a quadratic equation:
x^2 - 4x - 21 = 0
This equation can be factored into:
(x - 7)(x + 3) = 0
Setting each factor equal to zero gives the solutions x = 7 and x = -3.
However, the problem specifies that the number is positive, so the correct answer is 7.
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