Question

sum of a number and its positive sqaure roots is 6/25 find the numbers ​

Answer 1

Answer:

x = 1/25

Step-by-step explanation:

Define x:

Let the number be x

Form the equation:

x + √x = 6/25

Define y:

Let y be √x

Rewrite equation:

y² + y = 6/25

Solve y:

y² + y = 6/25

25y² + 25y = 6

25y² + 25y - 6 = 0

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

y  = 1/5 or y = -6/5 (rejected)

Solve x:

y = √x

1/5 = √x

√x = 1/5

x = (1/5)²

x = 1/25

Answer: x = 1/25