6.4: Solving Quadratics- Completing the Square and Quadratic Formula

College Technical Math · LibreTexts

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    • 6.4.1: Solve Quadratic Equations Using the Square Root Property
      Quadratic equations are equations of the form ax²+bx+c=0 , where a≠0 . They differ from linear equations by including a term with the variable raised to the second power. We use different methods to solve quadratic equations than linear equations, because just adding, subtracting, multiplying, and dividing terms will not isolate the variable. We have seen that some quadratic equations can be solved by factoring. In this chapter, we will use three other methods to solve quadratic equations.
    • 6.4.2: Solve Quadratic Equations by Completing the Square
      So far, we have solved quadratic equations by factoring and using the Square Root Property. In this section, we will solve quadratic equations by a process called ‘completing the square.’
    • 6.4.3: Solve Quadratic Equations Using the Quadratic Formula
      We have already seen how to solve a formula for a specific variable ‘in general’ so that we would do the algebraic steps only once and then use the new formula to find the value of the specific variable. Now, we will go through the steps of completing the square in general to solve a quadratic equation for x.
    • 6.4.H: Homework

    6.4: Solving Quadratics- Completing the Square and Quadratic Formula is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by LibreTexts.