Math Doubts

Roots of Quadratic Equation

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.

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

Representation

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

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

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



Follow us
Email subscription
Math Doubts
Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers. Know more
Follow us on Social Media
Mobile App for Android users Math Doubts Android App
Math Problems

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.

Learn more