The sum of half a number and its reciprocal is the same as 51 divided by the number. How do you find the number?
Write an equation to represent the situation
Place on a common denominator:
Now you can eliminate the denominators and solve the resulting quadratic equation.
Solve by factoring as a difference of squares.
(x + 10)(x - 10) = 0
x = -10 and 10
The numbers are -10 and 10.
- A third of a number added to four times the number's reciprocal is equal to half the quotient of 104 and the number.