Solving a Quadratic Equation by Completing the Square: SMART Board Resource for Algebra (Grades 6-12) (eLesson Plan)
Now, let's start the completing-the-square process. To begin, we have the original equation (or, if we had to solve first for "= 0", the "equals zero" form of the equation). In this case, we were asked for the x-intercepts of a quadratic function, which meant that we set the...
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Practice Solving a Quadratic Equation by Completing the Square with Decimal Answers with practice problems and explanations. Get instant feedback, extra help and step-by-step explanations. Boost your Algebra grade with Solving a Quadratic Equation by Com
Step-by-step guide: Completing the square 4Graphically x2+4x−5=0x2+4x−5=0 The solutions/roots are found when the graph equals 0 (crosses the xxx-axis). x=1,x=−5x=1,x=−5 We can check that our solution is correct by substituting it into the original equation. Step-by-...
Split the middle term in two parts obtained in the second step. Factorise the quadratic equations by the factorisation method. Solving a Quadratic Equation by Completing the Square We have learnt about the factorisation method to obtain the roots of a quadratic equation. Now, we shall learn the...
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Otherwise, we will need other methods such as completing the square or using the quadratic formula. The following diagram illustrates the main approach to solving a quadratic equation by factoring method. Main Idea of using Factoring Method to Solve a Quadratic Equation The diagram above suggests ...
Example 3: Solve the quadratic equation by completing the square. Move the constant so it alone is on the right side: Divide everything by the leading coefficient, since it's not 1: Half of the x‐term's coefficient squared, . Add that value to both sides of the equation: The left...