Question

If x2 + 1/x2 = 23, find the value of (x+1/x)

Answer 1

Answer:

5

Step-by-step explanation:

$x {}^{2} + \frac{1}{x {}^{2} } = 23$

$(x + \frac{1}{x} ) {}^{2} - 2 \times x \times \frac{1}{x} = 23$

$(x + \frac{1}{x} ) {}^{2} = 23 + 2$

$x + \frac{1}{x} = \sqrt{25}$

$x + \frac{1}{x} = 5$