Question

Find the value of x :-
X + 1/ x = 4

Answer 1

x+1/x = 4

x + 1 =4x

1 = 4x - x

1 = 3x

1/3 = x

Answer 2

Answer:

2 ± √3

Step-by-step explanation:

⇒ x + 1 / x = 4

⇒ ( x^2 + 1 ) / x = 4

⇒  x^2 + 1 = 4x

⇒  x^2 - 4x + 1 = 0

Using Quadratic Formula :

• $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

*both an equation ax^2 + bx + c = 0.

Thus, here,

⇒ x = [ - ( - 4 ) ± √[ 4^2 - 4( 1 )( 1 ) ] ] / 2( 1 )

⇒  x = [ 4 ± √( 16 - 4 ) ] / 2

⇒  x = [ 4 ± √12 ] / 2

⇒ x = [ 4 ± 2√3 ] /2

⇒ x = 2 ± √3