solving quadratic equations by completing the square

Solve 2 x 2 – 3 x + 4 = 0 by using the completing the square method. If it isn't, then first divide both sides of the equation by that coefficient and then proceed as before. To solve quadratic equations by using the completing the square method, the coefficient of the squared term must be 1. Solve the equation x 2 – 10 x = –16 by using the completing the square method. That square trinomial then can be solved easily by factoring. So 16 must be added to x 2 + 8 x to make it a square trinomial.įinding the value that makes a quadratic become a square trinomial is called completing the square. Multiply the coefficient of the “ x‐term” by. įind the value to add to x 2 + 8 x to make it become a square trinomial. Multiply b (the coefficient of the “ x‐term”) by. This value is found by performing two steps: The expression x 2 + bx can be made into a square trinomial by adding to it a certain value.

Solving Quadratics by Completing the Square Quiz: Binomial Coefficients and the Binomial Theorem.Binomial Coefficients and the Binomial Theorem.Quiz: Definition and Examples of Sequences.Quiz: Exponential and Logarithmic Equations.Systems of Equations Solved Algebraically.Systems of Inequalities Solved Graphically.

Quiz: Systems of Equations Solved Graphically.Systems of Equations Solved Graphically.Quiz: Systems of Equations Solved Algebraically.Quiz: Solving Equations in Quadratic Form.Quiz: Solving Quadratics by the Quadratic Formula.Solving Quadratics by the Quadratic Formula.Quiz: Solving Quadratics by Completing the Square.Solving Quadratics by Completing the Square.Quiz: Solving Quadratics by the Square Root Property.Solving Quadratics by the Square Root Property.Quiz: Adding and Subtracting Radical Expressions.Adding and Subtracting Radical Expressions.Quiz: Proportion, Direct Variation, Inverse Variation, Joint Variation.Proportion, Direct Variation, Inverse Variation, Joint Variation.Quiz: Adding and Subtracting Rational Expressions.Adding and Subtracting Rational Expressions.Quiz: Trinomials of the Form ax^2 + bx + c.Quiz: Trinomials of the Form x^2 + bx + c.Quiz: Adding and Subtracting Polynomials.

Quiz: Linear Equations: Solutions Using Elimination with Three Variables.

Linear Equations: Solutions Using Elimination with Three Variables.

Quiz: Linear Equations: Solutions Using Determinants with Three Variables.

Linear Equations: Solutions Using Determinants with Three Variables.

Quiz: Linear Equations: Solutions Using Matrices with Three Variables.

Linear Equations: Solutions Using Matrices with Three Variables.

Quiz: Linear Inequalities: Solutions Using Graphing with Two Variables.

Linear Inequalities: Solutions Using Graphing with Two Variables.

Quiz: Linear Equations: Solutions Using Determinants with Two Variables.

Linear Equations: Solutions Using Determinants with Two Variables.

Quiz: Linear Equations: Solutions Using Matrices with Two Variables.

Quiz: Linear Equations: Solutions Using Graphing with Two Variables.

Linear Equations: Solutions Using Graphing with Two Variables.

Linear Equations: Solutions Using Matrices with Two Variables.

Quiz: Linear Equations: Solutions Using Elimination with Two Variables.

Linear Equations: Solutions Using Elimination with Two Variables.

Quiz: Linear Equations: Solutions Using Substitution with Two Variables.

Linear Equations: Solutions Using Substitution with Two Variables.

Quiz: Slopes of Parallel and Perpendicular Lines.

Slopes of Parallel and Perpendicular Lines.

Solving quadratic equations by completing the square