Quadratic Equation Practical Solution1

In this page quadratic equation practical solution1 we are going to see solution of practice question of the worksheet quadratic equation practical application.

Question 1:

The sum of a number and its reciprocal is 65/8. Find the number

Solution:

Let “x” be the required number, then “1/x” will be its reciprocal

Sum of a number and its reciprocal is 65/8

x + (1/x) = 65/8

(x² + 1)/x = 65/8

8 (x² + 1) = 65 x

8 x² + 8 - 65 x = 0

 8 x² - 65 x + 8 = 0

8 x² – 1 x - 64 x + 8 = 0

x (8 x - 1) – 8 (8 x – 1) = 0

 (x – 8) = 0               (8x – 1) = 0

 x – 8 = 0                  8 x – 1 = 0

     x = 8                         8 x = 1

                                          x = 1/8

Therefore the two required numbers are 8 and 1/8

Verification:

Sum of the number and its reciprocal is 65/8

                =  8 + (1/8)

                = (64 + 1)/8

                = 65/8

Therefore the answer what we got is correct.

Question 1     Question 2     Question 3     Question 4     Question 5

Question 6     Question 7     Question 8     Question 9     Question 10

quadratic equation practical solution1 quadratic equation practical solution1

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