Question

the sum of four times a no and three times its reciprocal is 7. find the no

Answer 1

Let the number be x,

Reciprocal of x = 1/x 

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Four times of x = 4x

3 times its reciprocal = 3/x

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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


-by ABHAY

Answer 2

Hi friend....

Let the number be X .

Then it's reciprocal will be 1/X.

According to question,

4X + 3(1/X) = 7

4X +3/X = 7

4X²+3 = 7X

4X²-7X+3 = 0

4X²-4X-3X+3 = 0

4X(X-1) -3(X-1) = 0

(X-1) (4X-3) = 0

(X-1) = 0 OR (4X-3) = 0

X = 1 OR X = 3/4

Hence,

The number will be 1 OR 3/4.


HOPE IT WILL HELP YOU...... :-)