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