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Learning Goal

‹2 of 6 in this skill_area›

The discriminant and number of solutions

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

"Determine the conditions under which a quadratic equation has no real solutions, one real solution, or two real solutions." "Relate the solutions of a system of a linear and a nonlinear equation in two variables to the graphs of the equations in the system."

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"Determine the conditions under which a quadratic equation has no real solutions, one real solution, or two real solutions."
"Relate the solutions of a system of a linear and a nonlinear equation in two variables to the graphs of the equations in the system."

What you'll learn

  1. Determine whether a quadratic equation has two, one or no real solutions from the sign of $b^2 - 4ac$, without solving it
  2. Explain the classification from the $\pm\sqrt{\phantom{x}}$ term in the quadratic formula
  3. Find every value of an unknown coefficient that gives a stated number of real solutions
  4. Translate a condition stated in words or about a graph's $x$-intercepts into a condition on the discriminant

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