Question

if x square+1/x square is equal to 51 find the value of x-1/x​ I will mark you as brainliest

Answer 1

Answer:

x - 1/x = 7

Step-by-step explanation:

x^2 + 1/x^2 = 51

subtract 2 from both sides

x^2 + 1/x^2 - 2 = 51 - 2

(x)^2 + (1/x)^2 - 2(x)(1/x) = 49

(x - 1/x)^2 = 49

rooting on both sides

√(x-1/x)^2 = √49

x - 1/x = 7