Question

The sum of a number and its positive square root is 6/25. Find the number.....​

Answer 1

Answer:

1/25

Explanation:

*attached*

But 36/25 cannot be the answer as LHS and RHS do not equate on checking.... Therefore, 1/25 is the correct answer!

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Answer 2

Answer:

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

Redefine 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 -1/6 (rejected since the number is a positive number)

Solve x

√x = y

√x = 1/5

(√x)²  = (1/5)²

x = 1/25

Answer: 1/25

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Check:

x + √x = 1/25 + √(1/25) = 1/25 + 1/5 = 1/25 + 5/25 = 6/25