6xसिक्स एक्स स्क्वायर प्लस 19 एक्स सेक्स एक्स क्यूब प्लस 19 एक्स स्क्वेयर प्लस 30 एक्स माइनस 3 डिवाइडेड बाय टू एक्स प्लस 3
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In algebra, a quadratic equation (from the Latin quadratus for "square") is any equation that can be rearranged in standard form as
{\displaystyle ax^{2}+bx+c=0}ax^{2}+bx+c=0
where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no {\displaystyle ax^{2}}ax^2 term. The numbers a, b, and c are the coefficients of the equation and may be distinguished by calling them, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.[1]
The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side. A quadratic equation has at most two solutions. If there is no real solution, there are two complex solutions. If there is only one solution, one says that it is a double root. A quadratic equation always has two roots, if complex roots are included and a double root is counted for two. A quadratic equation can be factored into an equivalent equation
{\displaystyle ax^{2}+bx+c=a(x-r)(x-s)=0}{\displaystyle ax^{2}+bx+c=a(x-r)(x-s)=0}