Discuss the nature of solutions of the following quadratic equations.
x² + x - 12 = 0

Draw the graph of y = 2x² and hence solve 2x² - x - 6 = 0

Draw the graph of y = x² + 4x + 3 and hence find the roots of x² + x + 1 = 0

Draw the graph of y = x² + x - 2 and hence solve x² + x - 2 = 0

Draw the graph of y = x² - 4x + 3 and use it to solve x² - 6x + 9 = 0