Question

Ifa natural number is four times larger than its square rout, what is the number!​

Answer 1

Answer:

Let the natural number is =x then

According to given question.

x+3×x=4

⇒x+3x=4

⇒x−4=3x

Squaring both side and we get,

⇒x2+16−8x=9x

⇒x2−8x−9x+16=0

⇒x2−17x+16=0

⇒x2−(16+1)x+16=0

⇒x2−16x−1x+16=0

⇒x(x−16)−1(x−16)=0

⇒(x−16)(x−1)=0

⇒x=1,16 (Natural no.)

Hence, this is the answer.

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