File name: Math Notes.Pdf - Solving Quadratic Equations With Square.

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Math Notes.Pdf - Solving Quadratic Equations With Square.

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solve quadratic equations using the definition of the square root, solve quadratic equations by completing the square, and find polynomials with given roots. If a product equals 0, then at . For a reminder on how to factorise, see the revision notes for Algebra – Factorising Linear and Quadratic Expressions. Factorise the common factor out. both factors xx− 4)=0 to 0. 1. . In this section we will look at a couple ways of solving a quadratic equation as defined above. We will solve them b y factoring, square root method, completing the square, and the quadratic . Solve quadratic equations by applying the square root property. Solve quadratic equations by completing the square. Solve quadratic equations by using the quadratic formula. Graph parabolas using the vertex, x-intercepts, and y-intercept. Solve quadratic application problems. To use completing the square to solve a quadratic equation, you must write the equation in the form x2 1 bx 5 d. Solve x2 2 16x 5 by completing the square. Write original equation. equation. 2 each side. Write left side as the square of a binomial. Simplify the right side. Take square roots of each side. Add 8 to each side. In this unit we will look at how to solve quadratic equations using four methods: •solution by factorisation •solution by completing the square •solution using a formula •solution using graphs Factorisation and use of the formula are particularly important. 2. Solving quadratic equations by factorisation.