SOLUTION: A natural number, when increased by 3, equals 70 times its reciprocal. Find the number

Question 953625: A natural number, when increased by 3, equals 70 times its reciprocal. Find the number
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
A natural number, when increased by 3, equals 70 times its reciprocal. Find the number
n=the number

Multiply each side by n.
Subtract 70 from each side.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=289 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7, -10. Here's your graph:

ANSWER: The number is 7.
CHECK:
7+3=70(1/7)
10=70/7
10=10
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