Question

The sum of a number and it's positive square root is 6/25 . Find the number.

Answer 1

Answer: 1/25 is the number. please mark as brainliest

Step-by-step explanation:

x +√x + 6/25

cross multiplication

25x +25√x =6

25x+25√x-6=0

let √x=y

x=y²

25y²+25y-6=0

25y²-5y+30y-6

5y(5y-1) 6(5y-1)

(5y+6)(5y-1)

therefore 5y+6=0                         or               5y-1=0

                 y= -6/5                                              y=1/5

any square cant be negative ,

therefore y≠-6/5

hence y=1/5

√x=y

√x=1/5

x=1/25

hence the number is 1/25