Question

x+1/x=4,then the value of x²+1/x² ?​

Answer 1

Answer:

Given,

x+1/x=4

Now,

x^2+1/x^2

=(x+1/x)(x+1/x)

=4×4

=16

Answer 2

✪ Question ✪

x + 1/x = 4, then the value of x² + 1/x² ?

✪ Given ✪

x+1/x = 4

✪ To find ✪

The value of x² + 1/x².

✪ Formula ✪

(a + b)² = a² + b² + 2ab

Here, we have to take a as x and b as 1/x.

✪ Solution ✪

x + 1/x = 4

⇒(x + 1/x)² = 4²

⇒x² + 1/x² + 2×x×1/x = 16

⇒x² + 1/x² + 2 = 16

⇒x² + 1/x² = 16 - 2

⇒x² + 1/x² = 14

✪ Hence ✪

x² + 1/x² = 14

✪ Therefore ✪

The value of x² + 1/x² is 14.

๑ Hope this helps you. ๑