The diving platform example also provides a real-world application of the meaning of the roots of a quadratic equation. Since the trinomial has no binomial factors in real numbers, finding a way to solve the equation appears too difficult. The example of x² + 11x + 15 = 0 is presented as a challenge. In learning how the formula is related to the roots of any quadratic equation, students will learn ways to represent numbers for which no real-number solutions exist. This lesson introduces solving quadratic equations using the quadratic formula.
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