Question

the sum of a number and it's reciprocal is 10/3 find the sum​

Answer 1

Answer:

Let the number be x

:. According to given statement

x+1x=103

⇒x2+1x=103

⇒3x2+3=10x

⇒3x2−10x+3=0

⇒3x2−(9+1)x+3=0

⇒3x2−9x−x+3=0

⇒3x(x−3)−1(x−3)=0

⇒(3x−1)(x−3)=0

when 3x−1=0, x=13

and when x-3=0, x=3

Hence, the number (s) are 3 and (1)/(3)

Answer 2

see attachment for answer :)