Question

sum and product of two numbers find the two numbers . -11 and 42 find the two numbers ​

Answer 1

Step-by-step explanation:

Let the two consecutive natural numbers be x and (x+1)

From the given condition,we have

x(x+1)=42

⇒x

2

+x=42

⇒x

2

+x−42=0

⇒x

2

+7x−6x−42=0

⇒x(x+7)−6(x+7)=0

⇒(x−6)(x+7)=0

⇒x−6=0 or x+7=0

⇒x=6 or x=−7 .....[Since −7 is not a natural number]

So, x=6 and x+1=6+1=7.

Hence, the numbers are 6 and 7.