Quadratausgleich - перевод на Английский
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  3. Quadratausgleich

Quadratausgleich - перевод на Английский


Quadratausgleich      
n. quadratic equation, equation in which one of the unknown quantities is squared (Mathematics)
quadratic equation         
  • Carlyle circle of the quadratic equation ''x''<sup>2</sup>&nbsp;&minus;&nbsp;''sx''&nbsp;+&nbsp;''p''&nbsp;=&nbsp;0.
  • ''x''<sup>2</sup> + ''bx'' + ''c'' {{=}} 0}} compared with the value calculated using the quadratic formula
  • ''xc''}} is 0.732050807569, accurate to twelve significant figures.
  • a}} value should be considered negative here, as its direction (downwards) is opposite to the height measurement (upwards).
  • alt=Figure 6. Geometric solution of eh x squared plus b x plus c = 0 using Lill's method. The geometric construction is as follows: Draw a trapezoid S Eh B C. Line S Eh of length eh is the vertical left side of the trapezoid. Line Eh B of length b is the horizontal bottom of the trapezoid. Line B C of length c is the vertical right side of the trapezoid. Line C S completes the trapezoid. From the midpoint of line C S, draw a circle passing through points C and S. Depending on the relative lengths of eh, b, and c, the circle may or may not intersect line Eh B. If it does, then the equation has a solution. If we call the intersection points X 1 and X 2, then the two solutions are given by negative Eh X 1 divided by S Eh, and negative Eh X 2 divided by S Eh.
  • alt=Figure 2 illustrates an x y plot of the quadratic function f of x equals x squared minus x minus 2. The x-coordinate of the points where the graph intersects the x-axis, x equals &minus;1 and x equals 2, are the solutions of the quadratic equation x squared minus x minus 2 equals zero.
  • ''x''}}-axis at all.
  • <!-- Note: The unusual spellings in this alt text (for example, "eh" for the constant "a" ) is intended to aid enunciation by screen readers. Before changing any alt text, please test your changes in multiple screen readers. -->alt=Figure 1. Plots of the quadratic function, y = eh x squared plus b x plus c, varying each coefficient separately while the other coefficients are fixed at values eh = 1, b = 0, c = 0. The left plot illustrates varying c. When c equals 0, the vertex of the parabola representing the quadratic function is centered on the origin, and the parabola rises on both sides of the origin, opening to the top. When c is greater than zero, the parabola does not change in shape, but its vertex is raised above the origin. When c is less than zero, the vertex of the parabola is lowered below the origin. The center plot illustrates varying b. When b is less than zero, the parabola representing the quadratic function is unchanged in shape, but its vertex is shifted to the right of and below the origin. When b is greater than zero, its vertex is shifted to the left of and below the origin. The vertices of the family of curves created by varying b follow along a parabolic curve. The right plot illustrates varying eh. When eh is positive, the quadratic function is a parabola opening to the top. When eh is zero, the quadratic function is a horizontal straight line. When eh is negative, the quadratic function is a parabola opening to the bottom.
POLYNOMIAL EQUATION IN A SINGLE VARIABLE WHERE THE HIGHEST EXPONENT OF THE VARIABLE IS 2
Quadratic equations; Quadratic Equation; The Quadratic Equation; Quadratic model; Bhaskarachārya's Formula; Bhaskaracharya's Formula; ABC formula; Quadform; Quadratic solution formula; Quadratic Factoring Formula; Ax2+bx+c; Ax^2+bx+c; Ax2 + bx + c; Ax² + bx + c; Second degree equation; Second-degree equation; Ax^2+bx+c=0; Ax2+bx+c=0; Factoring a quadratic expression; Solving quadratic equations
Quadratausgleich
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