sum of a number and its reciprocal is 7 1/7 find the number
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The sum of a number and its reciprocal is 17/4. The number is ____________.
A
5
B
4
C
6
D
3
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ANSWER
Let the number be x
Given Sum of a number and its reciprocal is 17/4
⟹x+x1=417
⟹xx2+1=417
⟹4x2+4=17x
⟹4x2−16x−x+4=0
⟹4x(x−4)−(x−4)=0
⟹(4x−1)(x−4)=0
⟹x=41,4
So the number is 4
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