if X = 3-√13/2what is the value of x²+1/x²
Answers
Answered by
2
Answer:
x=
2
3−
13
and
x
1
=
3−
13
2
.
We know, (x+
x
1
)
2
=x
2
+
x
2
1
+2
and x
2
+
x
2
1
=(x+
x
1
)
2
−2.
Now, x+
x
1
=
2
3−
13
+
3−
13
2
=
2(3−
13
)
(3−
13
)
2
+4
=
2(3−
13
)
9+13−6
13
+4
=
2(3−
13
)
26−6
13
=
2(3−
13
)
2
13
(
13
−3)
.
So x+
x
1
=−2
13
and (x+
x
1
)
2
=4×13=52.
x
2
+
x
2
1
=(x+
x
1
)
2
−2
=52−2=50.
Attachments:
Answered by
3
Answer:
Hi ayush
Kya Kar Rahe ho? jaanu
Similar questions