2 Quadratic Formula Formula: x = -b ± √(b2 – 4ac) 2a This formula can be used to solve any quadratic equation.Equations must be written in standard form.Identify: a = b = c =When solving the formula use order of operations.
3 Examples:Solve the equations below:(Ex1) x2 + 3x = 2
4 Equation with One Solution Solve the equation below:(Ex2) 25x2 – 18x = 12x – 9
5 Equation with Imaginary Solution Solve the equation below:(Ex3) -x2 + 4x = 5
6 Discriminant Formula: b2 – 4ac Discriminant informs you how many and what type of solutions there are to a quadratic equation.Types of Solutions:1) # > real solutions2) # = real solution3) # < imaginary solutions
7 Examples: How many solutions are there to the equation below? x2 – 8x + 17 = 0
8 Determine if the equation has a real solution or an imaginary solution. 7x2 – 2x = 5