Question
A number is more than 21 times its reciprocal by 4. What
is the number?Solution
ATQ,
Let the number be x. Then its reciprocal is 1/x. Given: x - 21*(1/x) = 4 x - 21/x = 4 Multiply by x: x^2 - 21 = 4x x^2 - 4x - 21 = 0 Factor: (x - 7)(x + 3) = 0 So: x = 7 or x = -3 If the number is taken as positive: x = 7
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