Solve for the following scenario: The product of 2 consecutive positive odd numbers is 195. Find the numbers.
Let x be one number and x + 2 be the other number.
x(x+2) = 195
x^2 + 2x = 195
x^2 + 2x ...
In a step by step solution, quadratic equations are used to find numbers such that the product of those two consecutive positive odd numbers is 195. Through factorisation these numbers are solved for.