Question

find the roots of x+1/x=0 ,x is not equal to 0
please answer fast its urgent​

Answer 1

Step-by-step explanation:

given x + 1/x = 0

to find its roots

sol: x*x + x*1/x = 0*x [ multiply both sides with x ]

=> x² + 1 = 0

here a = 1, b = 0 and c = 1

x = [-b ± √(b² - 4ac)] / 2a

x = [-0 ± √ 0² - 4*1*1] / 2*1

x = [√(-4)] / 2

as the descriminant is < 0, equation has no real roots

x = [√(-1) * √4] / 2

x = i*2/2

x = 2i/2

x = I

x = ±√-1

OR

in simple x² + 1 = 0

=> x² = -1

=> x = ± √-1

but I have given clear explanation using quadratic formula for better understanding