Question

Represent the following situations in the form of quadratic equations.

The product of two consecutive positive integers is 306. We need to find the
integers.

Answer 1

Answer:

Let two consecutive numbers are x and (x + 1)

A/C to question,

product of x and (x + 1) = 306

⇒x(x + 1) = 306

⇒x² + x - 306 = 0

⇒ x² + 18x - 17x - 306 = 0

⇒x(x + 18) - 17(x + 18) = 0

⇒(x + 18)(x - 17) = 0⇒ x = 17 and -18

Hence, numbers are x = 17 and (x +1) = 18

Step-by-step explanation:

Answer 2

Answer:

let the 2 positive consecutive integers be x and x+1

then x×x+1 =306

now solve it