Question

if x+1/x = 11 then x² + 1/x² is​

Answer 1

Answer:

x + 1/x = 11

s.o.b.s

(x+1/x)² = 11²

x²+ 1/x²+2(x)(1/x) = 121

x²+1/x²+2= 121

x²+1/x²= 121-2

x²+1/x²= 119

Answer 2

Answer:

9

Step-by-step explanation:

Let us consider value of a = X and value of b = 1/x

$a {}^{2} + b {}^{2} = (a + b) {}^{2} - 2ab \: \: - - - - \: equation \: 1st$

Now putting the value of a and b in equation 1st.

$x {}^{2} + \frac{1}{x} {}^{2} = x + \frac{1}{x} - 2 \times x \times \frac{1}{x}$

$x + \frac{1}{x} - 2$

Value of X + 1/x is given = 11.

$11 - 2$

$9$