Question

If −1/x= 12,find the value of x^2+1/x^2

Answer 1

Answer :

1.0000482253

Step-by-step explanation:

$\frac{ - 1}{x} = 12 \\ \\∴ x = - \frac{1}{12}$

$x { }^{2} + \frac{1}{x ^{2} } = x {}^{4} + 1$

(multiplying by x^2)

$∴x ^{4} + 1 = (\frac{ - 1}{12} ) ^{4} + 1 \\ = \frac{1}{20736 } + 1 \\ = 1.0000482253$

Answer 2

Answer:

20737/144

Step-by-step explanation:

x=-1/12

x^2=1/144 ; 1/x^2=144

ans.

= 1/144 + 144

=(1+20736)/144

=20737/144

=144.0069444444...