Question

the sum of a number and its positive square root is 6/25.find the number?

Answer 1

x + x^1/2 = 6/25 solve for x

Answer 2

we know that the value has to be lower than 1

Answer 3

let the number be x.


x+ sqrt(x) = 6/25

now again, let sqrt(x) be y,

y^2+y = 6/25
y^2 +y - 6/25= 0
25y^2 +25y -6 = 0
factorise it and you get,

(5y+6)(5y-1) = 0

y= -6/5 or y= 1/5

Since the question requires the positive square root, we will reject y= -6/5

since y=1/5

x= y^2 = 0.2^2= 0.04
The number is 0.04