Question

if x²+1/x²=34,then find the positive value of x +1/x.​

Answer 1

Answer:

Answer:

± 6

$\tt x^{2} + \frac{1}{ {x}^{2}} + 2 = 34 + 2 \\ \\ \tt {x}^{2} + \frac{1}{ {x}^{2} } + 2 \: . \: x \: . \: \frac{1}{x} = 36 \\ \\ \tt (x + \frac{1}{x} )^{2} = 36 \\ \\ \tt x + \frac{1}{x} = \pm \sqrt{36} \\ \\ \tt x + \frac{1}{x} =\pm 6$