Question

the sum of a number and its reciprocal is 50/7 find the numbers
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Answer 1

Answer:

Step-by-step explanation:

Let the number be x and its reciprocal be 1/x.

x + 1/x = 50/7

(x^2 + 1)÷x = 50/7

x^2 + 1 = 50×x/7

7(x^2 + 1)= 50x

7x^2 + 7 = 50x

7x^2 - 50x + 7 = 0

7x^2 - 49x - x + 7 = 0

7x(x - 7) - 1(x - 7) = 0

(7x - 1) (x - 7) = 0

7x-1=0 or x-7=0

X is 7 or 1/7.