IF X+1/X = 11, FIND THE VALUE OF X^2+1^2/X^2
Answers
Answered by
0
Answer:
Given, x+
x
1
=11.
We know, (a+b)
2
=a
2
+b
2
+2ab.
Then, x+
x
1
=11.
On squaring both sides, we get,
(x+
x
1
)
2
=11
2
x
2
+(
x
1
)
2
+2(x)(
x
1
)=121
x
2
+(
x
1
)
2
+2=121
x
2
+
x
2
1
=121−2=119.
Therefore, option C is correct.
Answered by
0
Step-by-step explanation:
Given -
- x + 1/x = 11
To Find -
- Value of x² + 1/x²
Now,
→ x + 1/x = 11
Squaring both sides :-
→ (x + 1/x)² = (11)²
→ x² + 1/x² + 2×x×1/x = 121
→ x² + 1/x² + 2 = 121
→ x² + 1/x² = 121 - 2
→ x² + 1/x² = 119
Hence,
The value of x² + 1/x² is 119
Source - https://brainly.in/question/17984456
Similar questions