Question

the product of two consecutive positive integers is 306 we need to find integers.
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Answer 1

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

Answer 2

Answer:

Let one be x

Another be x+1

x+x+1=306

2x=306-1

2x=305

x=305/2

x=62.5

One number is 62.5 and another is 63.5

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