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 - 4 and hence solve x² - x - 12 = 0

Draw the graph of y = x² - 4 and hence solve x² + 1 = 0

Draw the graph of y = x² + 3x + 2 and use it to solve x² + 2x + 1 = 0

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

Draw the graph of y = x² - 5x - 6 and hence solve x² - 5x - 14 = 0

Draw the graph of y = 2x² - 3x - 5 and hence solve 2x² - 4x - 6 = 0

Draw the graph of y = (x - 1) (x + 3) and hence solve x² - x - 6 = 0

Discuss the nature of solutions of the following quadratic equations.
x² - 8x + 16 = 0

Discuss the nature of solutions of the following quadratic equations.
x² + 2x + 5 = 0

Graph the following quadratic equations and state their nature of solutions.
x² - 4x + 4 = 0

Graph the following quadratic equations and state their nature of solutions.
x² + x + 7 = 0