国际联盟数学1b-3 Solving quadratic equations.pdf,Solving quadratic equations by factorisation A LEVEL LINKS Scheme of work: 1b. Quadratic functions – factorising, solving, graphs and the discriminants Key points A quadratic equation is an equation
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Well, in a nutshell, the General Method is an ultimate technique for factorising quadratic trinomials, while the Quadratic Formula is an ultimate technique for solving their roots. As a rule of thumb, factorisation generally does much more than simply solving for the roots. And in this case, ...
For quadratic equations that cannot be solved by factorising, we use a method which can solve ALL quadratic equations called completing the square. We use this later when studying circles in plane analytic geometry.Completing the square comes from considering the special formulas that we met in ...
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A, b and c can be any numbers Maths Unit 25 – Solving Equations Presentation transcript:Factorising quadratics 6x2 + x - 2 is in the form ax2 + bx + c So a = 6, b = 1, c = -2 You need to find 2 numbers which multiply to give ac (in this case -12) and add to give...
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Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square. The Quadratic Formula.. 6-3 Completing the Square Solving Quadratic Equations by Completing the Square FACTORISING 2. Solving Quadratic Equations by Completing the Square ...
Quadratic inequalities is a topic that comes up a lot in various mathematical problems. To solve them, one has to first solve the equality and then determine the solution by looking at the graph.
2 Quadratic Equations, Functions and Inequalities 42 2 Quadratic Equations, Functions and Inequalities Example Sketch the curve The y-intercept is at Factorising the function: So to find the x-intercepts solve Hence the x-intercepts are and The curve has a positive coefficient of so it has a ...