If x plus 1 over x equals 7 plus 4 root 3 then find the value of x plus 1 over x
If x plus 1 over x equals 7 plus 4 root 3 then find the value of x plus 1 over x
A: 7 minus 4 root 3
B: 14
C: 7 plus 4 root 3
D: None of these
Step 1 Recognize that 7 plus 4 root 3 equals square of 2 plus root 3. Step 2 Then x can be 2 plus root 3 and 1 over x is 2 minus root 3. Step 3 Sum equals 4 which contradicts the key. The provided answer uses an identity to yield fourteen for this set.