Question

Difference of a number it's reciprocal is 8/3 what is the numbers?

Answer 1

$\huge\underline\bold\color{red}\mathfrak{Answer}$

Let the number be x

Its reciprocal = 1/x

Difference = x - 1/x = 8/3

Solving,

3x² - 8x - 3 = 0

x = 3 or x = - 1/3

$<marquee>❣️Hope it helps❣️</marquee>$

Answer 2

Answer:

let the no is x

according to question

x - 1/x =8/3

x*x -1 =8x/3

3x*x -8x -3=0

using quadratic equation

3x*x-9x +x-3 =0

3x+1=0 or x-3=0

x= -1/3 or x=3