Question

find the root the following quadratic equation by applying formula method

$x - \frac{1}{x} = 3 \: (x \: not \: equal \: to \: 0)$
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Answer 1

Answer:

3+√13 /2 or 3-√13 /2

Step-by-step explanation:

x-1/x=3

so convert these equation into a quadratic equation

(x^2-1)/x=3

x^2-1=3x

x^2-1-3x=0

so we have our quadratic equation

quadratic formula

-b+-√b^2-4ac /2a

general form of a quadratic equation

ax^2+bx+c=0

so a=1 b=-3 c=-1

put the values in the formula

=3+-√(-3)^2-4*1*-1 /2*1

=3+-√9+4 /2

=3+-√13 /2

ans=3+√13 /2 or 3-√13 /2