Question

If x+1/x =3 then find the value of x-1/x

Answer 1

Step-by-step explanation:

x+1/x=3

(x+1/x)²=9

(x-1/x)²+4x.1/x=9

(x-1/x)²+4=9

(x-1/x)²=5

(x-1/x)=√5

Answer 2

Answer:

5

Step-by-step explanation:

$x + \frac{1}{x} = 3 \\ \\ (x + \frac{1}{x} ) {}^{2} = {x}^{2} + 2 \times x \times \frac{1}{x} + (\frac{1}{x} ) {}^{2} \\ \\ (3) { }^{2} = {x}^{2} + ( \frac{1}{x} ) {}^{2} + 2 \\ \\ 9 - 2 = {x + \frac{1}{x} }^{2} \\ \\ 7 = {x + ( \frac{1}{x} }) ^{2} \\ \\ (x - \frac{1}{x} ) {}^{2} = {x {}^{2} + \frac{1}{x} }^{2} - 2 \times x \times \frac{1}{x } \\ \\( x - \frac{1}{x} ) { }^{2} = 7 - 2 \\ \\ x - \frac{1}{x} = 5$