 Site Navigation                            Algebra II Recipe: Quadratic Formula and the Discriminant A. Quadratic Formula x = 1. Determine the values of a, b, c.
2. Substitute the values into the formula.
3. Simplify using order of operations
• Once simplified, for the ±, set up one equation with "+"  and another with "-".
4. These x-values are the solutions AND are the x-intercepts of the graph.   Examples:   2x² + x = 5   x² - x = 5x - 9 B. Discriminant - it's the (b² - 4ac) in the quadratic formula
1. The value of (b2 - 4ac) tells how many solutions or x-intercepts the quadratic equation will have.
• If (b² - 4ac) > 0, there are two real solutions or x-intercepts
• If (b² - 4ac) = 0, there is one real solution or x-intercept.
• If (b² - 4ac) < 0, there are no real solutions or x-intercepts.   Examples:   x² - 6x + 10 = 0   x² - 6x + 9 = 0   x² - 6x + 8 = 0

G Redden

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