Question

x+1/x=0 please solve quadratic equation by formula method
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Answer 1

Question:-

➡ Solve the equation and find the value of x.

Solution:-

$\sf x + \frac{1}{x} = 0$

$\sf \implies \frac{ {x}^{2} + 1 }{x} = 0$

$\sf \implies {x}^{2} + 1= 0$

$\sf \implies {x}^{2} = - 1$

$\sf \implies x = \pm \sqrt{ - 1}$

$\sf \implies x = \pm i$

Hence, the roots of the given equation are i and -i

Note:-

➡ i is an imaginary number, i=√(-1)

Answer 2

Answer:

Solve the equation and find the value of x.

Solution:-

\sf x + \frac{1}{x} = 0x+

x

1

=0

\sf \implies \frac{ {x}^{2} + 1 }{x} = 0⟹

x

x

2

+1

=0

\sf \implies {x}^{2} + 1= 0⟹x

2

+1=0

\sf \implies {x}^{2} = - 1⟹x

2

=−1

\sf \implies x = \pm \sqrt{ - 1}⟹x=±

−1

\sf \implies x = \pm i⟹x=±i

Hence, the roots of the given equation are i and -i

Note:-

➡ i is an imaginary number, i=√(-1)