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  • https://stats.libretexts.org/Under_Construction/Purgatory/FCC_-_Finite_Mathematics_-_Spring_2023/03%3A_Functions/3.15%3A_Quadratic_Functions/3.15.04%3A_The_Quadratic_Formula
    The equation ax²+bx+c=0 is called a quadratic equation. Previously, we solved equations of this type by factoring and using the zero product property. It is not always possible to factor the trinomial...The equation ax²+bx+c=0 is called a quadratic equation. Previously, we solved equations of this type by factoring and using the zero product property. It is not always possible to factor the trinomial on the left-hand side of the quadratic equation as a product of factors with integer coefficients and we’ll need another method to solve the quadratic equation; the purpose of this section is to develop a formula that will consistently provide solutions of the general quadratic equation.
  • https://stats.libretexts.org/Under_Construction/Purgatory/Finite_Mathematics_-_Spring_2023/03%3A_Functions/3.15%3A_Quadratic_Functions/3.15.04%3A_The_Quadratic_Formula
    The equation ax²+bx+c=0 is called a quadratic equation. Previously, we solved equations of this type by factoring and using the zero product property. It is not always possible to factor the trinomial...The equation ax²+bx+c=0 is called a quadratic equation. Previously, we solved equations of this type by factoring and using the zero product property. It is not always possible to factor the trinomial on the left-hand side of the quadratic equation as a product of factors with integer coefficients and we’ll need another method to solve the quadratic equation; the purpose of this section is to develop a formula that will consistently provide solutions of the general quadratic equation.

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