Question

find the roots of x+1/x=3

Answer 1

Solution:-
$x + \frac{1}{x} = 3 \\ \frac{ {x}^{2} + 1 }{x} = 3 \\ {x}^{2} - 3x + 1 = 0 \\ x(x - 3) = - 1 \\ x = - 1 \\ x = - 1 + 3 = 2$
x = -1 , 2

Answer 2

Heya !!!



X+ 1/X = 3


X² + 1 = 3
--------
X



=> X² + 1 = 3X



=> X² - 3X + 1



Here,


A = Coefficient of X² = 1


B = Coefficient of X = -3


And,


C = Constant term = 1



Discriminant ( D ) = B² - 4AC



=> (-3)² - 4 × 1 × 1


=> 9 - 4


=> 5



Therefore,



Roots of the given equation = -B+ ✓D/2A or -B - ✓D/2A




=>- ( -3 ) + ✓5 / 2 × 1 or -(-3) - ✓5 / 2 × 1




=> 3+✓5/2 or 3-✓5/2




★ HOPE IT WILL HELP YOU ★