Question

If x - 1/x. =4 then find x^2 +1/x^2

Answer 1

Answer:

refer to the attachment

hope it helps.....

Answer 2

$</p><p></p><p>{\color{cyan} Given\; Question\;Is } \\\\</p><p></p><p>{\color{red}x-\frac{1}{x} =4 } \\\\</p><p></p><p>{\color{green}Find\;x^2+\frac{1}{x^2}} \\\\</p><p></p><p>{\color{cyan}Answer} \\\\</p><p></p><p></p><p>{\color{green}x-\frac{1}{x} =4 } \\\\</p><p></p><p>Squaring \;On\; Both\;Sides \\\\</p><p></p><p>\left(x-\frac{1}{x}\right)^2 = 4^2 \\\\</p><p></p><p></p><p>x^2+\frac{1}{x^2} -2x*\frac{1}{x} = 16 \\\\</p><p></p><p>x^2 +\frac{1}{x^2} -2 = 16 \\\\</p><p></p><p>x^2 +\frac{1}{x^2} = 16 +2 \\\\</p><p></p><p>x^2+\frac{1}{x^2} = 18 \\ \\</p><p></p><p></p><p>\therefore\;\;{\color{cyan}x^2+\frac{1}{x^2} = 18}</p><p></p><p></p><p></p><p>$