Answer: \(x^2 - 5x + 6 = 0\) and \(2y^2 + 3y - 7 = 0\) (any two such equations)
A quadratic equation in one variable has the form \(ax^2 + bx + c = 0\), where \(a, b, c\) are real numbers and \(a \neq 0\); the highest index of the variable is 2.
Examples: \(x^2 - 5x + 6 = 0\) (\(a = 1, b = -5, c = 6\)) and \(2y^2 + 3y - 7 = 0\) (\(a = 2, b = 3, c = -7\)). Others such as \(m^2 - 9 = 0\) are also correct.