Value of Money Quadratic Formula Term Paper

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The parabola touches the x-axis at a single point (2, 0), which is the solution if y = 0. For the second case (two real solutions), it will show a parabola that touches the x-axis at two points. For example, the equation y = x^2-3x + 2 will have the following graph:

In this case, the discriminant is b^2-4ac = -3^2-4*1*2 = 9-8 = 1. The parabola touches the x-axis at points (1, 0) and (2, 0), which are the two solutions when y = 0. For the third case (imaginary solution), it won't show a graph in the Cartesian plane unless we include the complex plane.

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For example, the equation y = x^2-4x + 13 will have the discriminant b^2-4ac = -4^2-4*1*13 = 16-52 = -36. In the real world, imaginary numbers are used in various fields like electrical engineering (signal analysis), quantum mechanics, physics (theory of relativity), fractals, and fluid dynamics......

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