1. ALGEBRA 1 SECTION 10.7 Interpret the Discriminant Big Idea: Determine the number of solutions to a quadratic equation. Essential Question: How do you use the value of the discriminant?

2. Interpreting the Discriminant  The discriminant of a quadratic equation enables you to determine how many solutions a quadratic equation will have.  The formula for finding the discriminant is.

3. Interpreting the Discriminant Value of the Discriminant Number of Solutions (positive) (equals 0) (negative) Two solutions (two x-intercepts) One solution (one x-intercept) No solution (no x-intercept)

4. Example  Tell whether the equation has two solutions, one solution, or no solution.

5. Example  Tell whether the equation has two solutions, one solution, or no solution.

6. Example  Tell whether the equation has two solutions, one solution, or no solution.

7. Example  Find the number of x-intercepts of the graph of

8. Example  Find the number of x-intercepts of the graph of

9. Example  Find the number of x-intercepts of the graph of