Question

x + 1/x =3 the standard form of quadratic
equation is​

Answer 1

Answer:

x^2-3x+1

Step-by-step explanation:

if u like the ans mark me as brainlist.

Answer 2

Multiply all terms by x and cancel:

xx+1=3x

x²+1=3x(Simplify both sides of the equation)

x²+1−3x=3x−3x(Subtract 3x from both sides)

x²−3x+1=0

For this equation: a=1, b=-3, c=1

1x²+3x+1=0

$x = \frac{ - b( + - ) \sqrt{ {b}^{2} - 4ac } }{2a}$

(use quadratic formula with a=1,b=-3,c=1)

$- ( - 3) ( + - ) \sqrt{ \frac{( - 3 {)}^{2} - 4(1)(1)}{2(1)} }$

$x = \frac{3( + - ) \sqrt{5} }{2}$

$x = \frac{3}{2} + \frac{1}{2} \sqrt{5} \: \: \: or \: \: \frac{3}{2} + \frac{ - 1}{2} \sqrt{5}$