Question

if
$y + \frac{1}{y} = 2$
then find the value of
${y}^{50} - \frac{1}{ {y}^{50} }$
?

Answer 1

Answer:

$\huge\bold\red{ANSWER}$

Step-by-step explanation:

$\large{\underline{\rm{\red{SOLUTION :}}}}$

$\implies \sf \green {y+\frac{1}{y}=2}\\ \implies \sf \green {\frac{y^2+1}{y}=2}\\ \implies \sf \green {y^2+1=2y}\\ \implies \sf \green {y^2-2y+1=0}\\ \implies \sf \green {y(y-1)-1(y-1)=0}\\ \implies \sf \green {y=1}\\ \\ \implies \sf \green {(1)^5^0-\frac{1}{(1)^5^0}}\\ \implies \sf \green {0\:is\:answer}$