The sum of a number and its reciprocal is one eigth of 68.what is the product of the number and it's reciprocal.
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Answer:
Correct option is
A
8
Let the number be x.
According to the question,
x+ x 1 = 8 34
x
x
2
+1 = 4 17
4x
2
+4=17x
4x
2
−17x+4=0
4x
2
−16x−x+4=0
4x(x−4)−1(x−4)=0
(x−4)(4x−1)=0
x=4,
4
1
Since,
⇒4×
4
⇒4×2
⇒8
Hence, this is the answer.
Step-by-step explanation:
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