# The Sum of a Number and Its Reciprocal is 4.25. Find the Number. - Mathematics

Sum

The sum of a number and its reciprocal is 4.25. Find the number.

#### Solution

Let the numbe be x and 1/x

For the given information

x + 1/x = 4.25

(x^2 + 1)/x = 425/100 = 17/4

4x^2 - 17x + 4 = 0

4x^2 - 17x + 4 = 0

4x(x - 4) - 1(x - 4) = 0

(x - 4)(4x - 1) = 0

x = 4,1/4

x = 4 => 1/x = 1/4

x = 1/4 => x = 4

Thus the number are 4 and 1/4

Is there an error in this question or solution?

#### APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 6 Solving (simple) Problems (Based on Quadratic Equations)
Exercise 6 (A) | Q 4 | Page 69