The solutions of quadratic equation are called roots of quadratic equation.

Quadratic equation is a second degree polynomial. So, It can be derived that the quadratic equation has two solutions when the quadratic expression equals to zero.

$ax^2+bx+c = 0$ is a quadratic equation in standard algebraic form and the solutions are simply denoted by quadratic formula.

$x \,=\, \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}$

The two roots of quadratic equation are usually represented by alpha and beta symbols.

$(1)\,\,\,\,\,\,\,$ $\alpha \,=\, \dfrac{-b + \sqrt{b^2 -4ac}}{2a}$

$(2)\,\,\,\,\,\,\,$ $\beta \,=\, \dfrac{-b -\sqrt{b^2 -4ac}}{2a}$

List of most recently solved mathematics problems.

Jul 04, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \,\to\, \tan^{-1}{3}} \normalsize {\dfrac{\tan^2{x}-2\tan{x}-3}{\tan^2{x}-4\tan{x}+3}}$

Jun 23, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{e^{x^2}-\cos{x}}{x^2}$

Jun 22, 2018

Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

Jun 21, 2018

Limit

Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

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