If x+
x
1
=15, then the value of (x
2
+
x
2
1
) is:
- A225
- B223
- C17
- D13
Solution & Step-by-step Explanation
Given:
x+
x
1
=15
Squaring both sides of the equation:
(x+
x
1
)
2
=15
2
x
2
+
x
2
1
+2(x)(
x
1
)=225
x
2
+
x
2
1
+2=225
x
2
+
x
2
1
=225−2=223
x+
x
1
=15
Squaring both sides of the equation:
(x+
x
1
)
2
=15
2
x
2
+
x
2
1
+2(x)(
x
1
)=225
x
2
+
x
2
1
+2=225
x
2
+
x
2
1
=225−2=223