Question

x^2+1/x =7 find x+1/x​

Answer 1

Answer:

Step-by-step explanation:

$x^{2} + 1/x^2 = 7$

To find x + 1/x, square it

$(x+1/x)^2 = x^2 + 1/x^2 +(x*1/x)$

$(x+1/x)^2 = x^2 + 1/x^2 + 1$

$(x+1/x)^2 = 7 + 1$

$(x + 1/x)^2 = 8$

$(x + 1/x) = 2 \sqrt{2}$