Question

if x-1/x=3 find the value of x²+1/x²​

Answer 1

Answer:

answer is 9..........

Answer 2

$\fbox\red{\fbox\blue{Solution:-}}$

$\fbox\red{\fbox\red{Given:-}}$

$\pink{(x - \frac{1}{x}) = 3}$

$\fbox\red{\fbox\blue{To \: find:-}}$

$\red{ {x}^{2} + \frac{1}{ {x}^{2} } = ?}$

$\fbox\red{\fbox\orange{By \: the \: problem:-}}$

$\blue{(x - \frac{1}{x} ) = 3 }\\ = > \green{ {(x - \frac{1}{x} )}^{2} = {3}^{2} } - - - \red{ (by \: squaring \: both \: sides) }\\ = > \blue{ {x}^{2} + \frac{1}{ {x}^{2} } - 2 \times x \times \frac{1}{x} = 9} \\ = > \green{ {x}^{2} + \frac{1}{ {x}^{2} } - 2 = 9} \\ = > \pink{ {x}^{2} + \frac{1}{ {x}^{2} } = 9 + 2} \\ = \orange{ 11}$

$\fbox\red{\fbox\green{Answer:-}}$

$\blue{11}$