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Answer these Qu's:How can graphing technology be used to approximate the solutions of a quadratic equation?Why would graphing technology be used to approximate the solutions of a quadratic equation?

Redzone

by Redzone at August 16, 2011

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Redzone -A quadratic equation is simply an equation for a parabola.A parabola has 3 possible x-y graphs:1. The parabola does not touch the x axis because the parabola either opens up above the x-axis or it opens downward below the x-axis.  This scenario only produces two imaginary roots. You can not find these graphically.2. The vertex of the parabola touches the x-axis at a single point.  For example, y=(x-1)^2 has a zero at x = 1.  This is called a double root.3. The parabola crossed the x-axis at two separate points.  For example, y=(x-1)(x-2) has two roots at x=1 and x=2.If you can not easily factor a quadratic, then graphical solutions can make your job easier than solving the quadratic formula.  Most graphing calculators allow you to find the zeros of a graph and will display an approximation of the x-intercepts. See your calculator manual for instructions.Hope that helps

Steve204 Steve204 August 16, 2011

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