Question

x+1/x=8 (given)
x-1/x=?

Answer 1

Answer:

$\frac{-63}{8}$

Step-by-step explanation:

$x+\frac{1}{x}=8\\\\=>\frac{x^{2} +1}{x}=8\\\\=>x^{2} +1=8x\\=>x^{2} =8x-1\\\\=>\frac{x^{2} }{8x}=-1\\\\=>\frac{x}{8}=-1\\\\=>x=-8$

$x-\frac{1}{x}\\\\=>(-8)-(\frac{1}{-8} )\\\\=> (-8)-(\frac{-1}{8} )\\\\=>(-8)+(\frac{1}{8} )\\\\=>\frac{-64+1}{8}\\\\=>\frac{-63}{8}$