Question

The sum of four time the number and three time the reciprocal in 7 .find the number

Answer 1

Answer:

Step-by-step explanation:

Let the number be x,

Reciprocal of x = 1/x  

=======================

Four times of x = 4x

3 times its reciprocal = 3/x

--------------------------

ATQ,

4x + 3/x = 7  

4x² + 3 = 7x  

4x² - 7x + 3 = 0

4x² - (4 + 3)x + 3 = 0  

4x² - 4x - 3 x  + 3 = 0  

4x( x - 1) - 3(x - 1)  = 0  

(x -1 ) (4x - 3) = 0  

x = 1   Or   x = 3/4  

number can be 1 or can be 3/4

i hope this will help you✌✌