2 A teacher gave a question to find the roots of the equation {(x)/(x+1)} + {(x+1)/x;. Ravi and Ankit cheated from each other but<

Question

2
A teacher gave a question to find the roots of the equation
{(x)/(x+1)} + {(x+1)/x;. Ravi and Ankit cheated from each other but
Sahil solved it of his own, Ravi said one of the roots is 3/2. Ankit said one
of the roots is -5/2. Sahil said this is not possible to find as the discriminant
is negative. Who’s answer is correct and what moral value you get from it?
Give prime factorisation of 4620​

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4 weeks 2021-08-23T04:59:37+00:00 1 Answer 0 views 0

1. Given : A teacher gave a question to find the roots of the equation x/(x +1 )  + (x + 1)/x

Ravi said one of the roots is 3/2. Ankit said one  of the roots is -5/2.

Sahil said this is not possible to find as the discriminant  is negative.

To Find : Who is correct

Solution:

x/(x +1 )  + (x + 1)/x = 0

=>  x² + (x + 1)²  = 0

=> x²  + x² + 2x + 1 = 0

=> 2x² + 2x + 1 = 0

D = 2² – 4(2)(1)

=> D = 4 – 8

=> D  = – 4

D < 0

discriminant  is negative

Roots are not real

Hence Sahil is correct  that

this is not possible to find as the discriminant  is negative

SAHIL is correct