Question

Y+1/Y =12 , then Y^2+1/Y^2 = ?

Answer 1

Answer:

y+1=12y

1=11y

1/11=y

therefore,

y^2+1/y^2

=(1/11)^2+1/(1/11)^2

=1/121+1/1/121

mark me as brainliest and follow me friends

Answer 2

142 is the answer

Step-by-step explanation:

Given that, $y+\frac{1}{y}= 12$

squaring both the side, $(y+\frac{1}{y})^{2}= 12^{2}$

now using the relation $(x+y)^{2}=x^{2}+y^{2}+2x y$

Here in given relation

$x=y\\y=\frac{1}{y}$

$y^{2}+\frac{1}{y}^{2}+2\times y\times \frac{1}{y}=144$

$y^{2}+\frac{1}{y}^{2}+2=144$

$y^{2}+\frac{1}{y}^{2}=144-2$

$y^{2}+\frac{1}{y}^{2}=142$

answer is 142