SOLUTION: if two more than a number is 1 less than 4 times the reciprocal of the number. Find the number

Question 191376: if two more than a number is 1 less than 4 times the reciprocal of the number. Find the number
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Let x be the number.
Then "two more than a number" is x + 2;
"1 less than 4 times the reciprocal of the number" is 4/x-1.
As the two expressions are equal, we have

Solving for x, we have
multiply both sides by x

So
x=1 or x=-4
Therefore the number is 1 or -4.

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