Question

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

Step-by-step explanation:

$x(x + 1) = 306 \\ {x}^{2} + x - 306 = 0 \\ {x}^{2} + 18x - 17x - 306 = 0 \\ x(x + 18) - 17(x + 18) \\ x = 17$

$hence \: the \: two \: numbers \: are 17 \\ and \: 18$

Answer 2

Answer:

let 2 numbers be y,y

A/P y*y=306

y square=306

y=306/2

therefore,y=153