the sum of a number and its reciprocal is 32/6. find the number
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Answer:
x+1/x=10/3
By taking LCM
x²+1/x=10/3
By cross multiplication
10x=3x²+3
3x²-10x+3=0
By spliting the middle term
3x²-x-9x+3=0
x(3x-1)-3(3x-1)=0
(x-3)(3x-1)=0
x=3 , x= 1/3
Step-by-step explanation:
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