The sum of a number and its reciprocal is 37/6. Find the number.
3 answers
x + 1/x = 37/6 = 6 + 1/6
sum=N+1/N=37/6
N^2-37N/6+1=0
N=(37/6 +-sqrt( (37/6)^2 -4*1*1) /2=37/12 +- sqrt (34/4)
N=6
check: 6+1/6=37/6
N^2-37N/6+1=0
N=(37/6 +-sqrt( (37/6)^2 -4*1*1) /2=37/12 +- sqrt (34/4)
N=6
check: 6+1/6=37/6
76
2 answers