1.

The product of two consecutive positive integers is 306 we need to find integers.​

Answer»

Step-by-step EXPLANATION:

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



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