Question

sum of a number and the reciprocal and three times the number is 37/3 find the number ​

Answer 1

12 by 1 - 12 + 12 + 12 by 1 + 12 equal to 37 equal to 2 by 1 - 2T + 12 by 1 + 2 equal to 25 24 by 1 - 144 square equal to 25 1 - 144 square equal to 24 25 square equal to 1 by 25 into 144 equal to 1 by 25 into 144 equal to 1 by 60 minus B A + 1 by 15 8 1 by 12, 1 by x minus 15 12 10 or 10, 12,

Answer 2

Answer:

let number be x

as per the given statement

x + 1/x + 3x = 37/3

4x + 1/x = 37/3

4 x^2 + 1 = 37x/3 [ multiply both sides by x]

12x^2 + 3 = 37x [ multiply both sides by 3]

12x^2 - 37x + 3 = 0

12x^2 - 36x - x +3 = 0 [ by splitting the middle term]

12x(x - 3) - 1(x - 3) = 0

(12x - 1) ( x - 3) = 0

12x - 1 = 0 or x - 3 = 0

x= 1/12 or x = 3

x= 3 is the number