Question

Class 10 The product of two consecutive positive integer is 306. We need to find the integers.. ​

Answer 1

Step-by-step explanation:

(x)(x+1)=306

x^2+x-306=0

solve the quadratic equation and get the integers

Answer 2

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