Question

if X2+1/X2=38 find the values of X-1/x

Answer 1

Answer:

6

Step-by-step explanation:

(x−

x

1

)

2

)

2

=x

2

+(

x

1

)

2

−(2×x×

x

1

)(∵(a−b)

2

=a

2

+b

2

−2ab)

=x

2

+

x

2

1

−2

=38−2(Given:x

2

+

x

2

1

=38)

=36

Now, since (x−

x

1

)

2

=36, therefore, we have:

(x−

x

1

)

2

=36

⇒x−

x

1

=

36

=6

Hence, x−

x

1

=6

Answer 2

Answer:

√38 ≈ 6.164

Step-by-step explanation:

$\sqrt{ \frac{x {}^{2} + 1 }{ x {}^{2} } } = \sqrt{38 }$

$\frac{x - 1}{x} = \sqrt{38}$

$\sqrt{38} = 6.164414$