if x - 1/x=3 then x² + 1/x² = __
Answers
Answered by
1
Answer:
Solution-
x - \frac{1}{x} = 3.........(squaring \: both \: side)x−
x
1
=3.........(squaringbothside)
{( x - \frac{1}{x} ) }^{2} = {3}^{2}(x−
x
1
)
2
=3
2
{x}^{2} + { (\frac{1}{x} )}^{2} - 2(x - \frac{1}{x} ) = {( x - \frac{1}{x} ) }^{2}x
2
+(
x
1
)
2
−2(x−
x
1
)=(x−
x
1
)
2
{x}^{2} + { (\frac{1}{x} )}^{2} - 2(x - \frac{1}{x} ) = 9x
2
+(
x
1
)
2
−2(x−
x
1
)=9
{x}^{2} + {( \frac{1}{x} )}^{2} = 9 + 2x
2
+(
x
1
)
2
=9+2
{x}^{2} + {( \frac{1}{x}) }^{2} = 11x
2
+(
x
1
)
2
=11
11 Is Your Required answer
Similar questions