The product of two consecutive positive integers is 306. Form the quadratic equation to find x, if x denotes the smaller integer.
Hint: In this particular question assume any variable be the smallest positive integer so (variable + 1) is the consecutive positive integer greater than the variable so use these concepts to reach the solution of the question.
Complete step-by-step answer: Let x be the smallest positive integer.
So, (x + 1) is the consecutive positive integer greater than x.
Now it is given that the product of two consecutive positive integers is 306.
Therefore two consecutive positive integers are 17 and (17 + 1 = 18) whose product is 306.
Therefore the smallest positive integer is 17.
So this is the required answer.
Note: Whenever we face such types of questions the key concept is the construction of a quadratic equation according to given information in the problem statement then solve this quadratic equation as above and calculate the value of x which is the required smallest positive integer so that the product of two consecutive positive integer is 306.
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