Question 294645
let the number be x

reciprocal will be 1/x

6 times reciprocal = 6/x

x+ 6/x = 5

x^2+6 / x = 5

x^2+6 =5x

x^2-5x+6=0

x^2-3x-2x+6=0

x(x-3)-2(x-3)=0

(x-2)(x-3)=0

x= 2 or 3