Question

The sum of a number and 3 times its receprocal is 7/2. Consider the number as x. Construt an equation of the above data . Find the number

Answer 1

Answer:

Step-by-step explanation:

Let the number as   x

Given,

x  + 3( 1/x)  = 7/2

multiply by 2x on both sides

2 x²  + 6 = 7 x

2 x² - 7 x + 6 = 0

2 x² - 4 x - 3 x + 6 = 0

2 x ( x - 2 ) - 3 ( x - 2 ) = 0

( 2 x - 3 ) ( x - 2 ) = 0

x = 3/2 ,  x = 2

Answer 2

Answer:

x+3(1/x)=7/2

Step-by-step explanation:

2x²+6=7x

2x²-7x+6=0

2x2-4x-3x+6=0

2x(x-2)-3(x-2)=0

(2x-3)(x-2)=0

x=3/2,x=2