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If the sum of number and 21 times it's reciprocal is 10. find the number​

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Answer:

x = 3 or x = 7

Explanation:

Let's represent the unknown number as "x." According to the given information, the sum of the number and 21 times its reciprocal is 10.

Mathematically, we can express this as:

x + 21 * (1/x) = 10

To solve this equation, we can first eliminate the fraction by multiplying through by x:

x^2 + 21 = 10x

Rearranging the equation:

x^2 - 10x + 21 = 0

Now, we have a quadratic equation. To solve for x, we can factorize or use the quadratic formula

In this case, we can factorize the equation as:

(x - 3)(x - 7) = 0

Setting each factor equal to zero:

x - 3 = 0 or x - 7 = 0

Solving for x:

x = 3 or x = 7

Therefore, the possible values for the number are x = 3 or x = 7.

User Jackyto
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