If x+
x
1
=5, then find the value of x
2
+
x
2
1
.
- A22
- B10
- C20
- D23
Solution & Step-by-step Explanation
Given:
x+
x
1
=5
Squaring both sides of the equation:
(x+
x
1
)
2
=5
2
x
2
+
x
2
1
+2(x)(
x
1
)=25
x
2
+
x
2
1
+2=25
x
2
+
x
2
1
=25−2=23
x+
x
1
=5
Squaring both sides of the equation:
(x+
x
1
)
2
=5
2
x
2
+
x
2
1
+2(x)(
x
1
)=25
x
2
+
x
2
1
+2=25
x
2
+
x
2
1
=25−2=23