Question

the sum of a number and its positive square root is 6/25. find the number
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Answer 1

Step-by-step explanation:

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Question 10: The sum of a number and its positive square root is 6/25. Find the number.

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Answer



Given:The sum of a number and its positive square root is 6/25.

To find: The number

We assume that the number is x.

It is given that, The sum of the number and its positive square root is 6/25.

Thus, we can write that,

Also, we assume that .

Thus,

We multiply the whole equation by 25 to get,

Taking the common terms,

We know that, to determine the roots of any equation, the value of atleast one of the products must be zero.

Thus, we consider the first product of the equation as zero.

Here, the second product is zero.

Ir is given that square root of the number is positive.

Thus, first case is wrong.

Thus, the number is (1/5).

Hence,

Therefore, the number that is requires is 1/25