Question

A natural number is greater than three times its square root by 4.Find the number

Answer 1

Let the natural number be x.

Now, according to the question

x- 3√x = 4

Let √x = y

Now, the equation can be written as : (√x)²- 3(√x) = 4

⇒ y²-3y = 4

⇒ y²-3y-4=0

⇒ (y+1)(y-4) =0

⇒ y = -1 , 4

Now, we have stated √x = y

⇒ √x = -1 , 4

⇒ x= 1 , 16             ∵ [On squaring both the sides]

Hence,the natural number can be either 1 or 16.

Answer 2

Answer:

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