Question

if x square +1/xsquare=51find value of (x-1/x)

Answer 1

(x + 1/x)^2=51.
(x+1/x) = root 51
=7.14
may this is corret this help u

Answer 2

$\huge\star\underline\mathfrak\green{Answer}$

$\Large\bf\underline\red{Given:-}$

$\huge\bold\red{[x²-1/x²]=51}$

On Squaring:-

=[x² - 1/x²]²

= x²+ 1/x² -2 × x ×$\frac{1}{x}$

=x²+1/x² -2 =51

=x²+ 1/x² =51-2

=x²+1/x²=49

Therefore,[ x - 1/x]²=49

So,

x - $\frac{1}{x}$= $\sqrt{49}$

x - $\frac{1}{x}$=7

Hope it's helpful✓