Question

if x-1/x=19,find the value of x²+1/x²​

Answer 1

Answer:

363

Step-by-step explanation:

$(x - \frac{1}{x} ) {}^{2} = x {}^{2} + \frac{1}{x {}^{2} } - 2x \times \frac{1}{x} \\ \\ (19) {}^{2} = x {}^{2} + \frac{1}{x {}^{2} } - 2 \\ \\ 361 + 2 = x {}^{2} + \frac{1}{x {}^{2} } \\ \\ 363 = x {}^{2} + \frac{1}{x {}^{2} }$