Question

If x²+1/x²=14 the find the value of x+1/x

Answer 1

Answer:

$we \: \: should \: \: write \: \: this \: as = > \\ \\ {(x + \frac{1}{x} )}^{2} = {x}^{2} + \frac{1}{ {x }^{2} } + 2 = 14 + 2 = 16 \\ \\ = > x + \frac{1}{x} = \sqrt{16} = |4|$

Answer 2

Answer

Given:x²+1/x²=14

Using formula:

(x+1/x)²=x²+1/x²+2

(x+1/x)²=14+2

X+1/x=root16

x+1/x=4

HOPE IT HELPS YOU..