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where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.) The numbers a, b, and c are the coefficients of the equation and may be distinguished by respectively calling them, the quadratic coefficient, the linear coefficient and the constant coefficient or free term. [2] Solving the quadratic equation [ edit ] Figure 1. Plots of quadratic function y = ax 2 + bx + c, varying each coefficient separately while the other coefficients are fixed (at values a=1, b=0, c=0)

Add the square of one-half of b/ a, the coefficient of x, to both sides. This "completes the square", converting the left side into a perfect square. which represents a well-defined algorithm that can be used to solve any quadratic equation. [6] :207 Starting with a quadratic equation in standard form, ax 2 + bx + c = 0 Because the quadratic equation involves only one unknown, it is called " univariate". The quadratic equation contains only powers of x that are non-negative integers, and therefore it is a polynomial equation. In particular, it is a second-degree polynomial equation, since the greatest power is two. expresses the solutions in terms of a, b, and c. Completing the square is one of several ways for deriving the formula.

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Discusses how components that are written by using C++/CX can be used with components that are written in JavaScript, any managed language, or the Windows Runtime C++ Template Library. A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may not be real.

C++ Windows Runtime components that can be consumed by JavaScript-based Windows apps. For more information, see Creating Windows Runtime Components in C++.Reference documentation for the default namespace, the Platform namespace, Platform::Collections, and related namespaces. Windows DirectX games and graphics-intensive apps. For more information, see Create a simple UWP Game with DirectX.