Class 10 Maths Quadratic Equations | Quadratic Equation |

**Quadratic Equation**

A quadratic equation in the variable x is an equation of the form ax^{2} + bx + c = 0, where a, b, c are real numbers, a ≠ 0. E.g.: 2x^{2} – 3x + 7 = 0,

Application:

- Used to find effective resistance of a circuit
- Used in the field of communications
- Used to find the field of architecture
- Used in the field of finance to find demand supply relation
- Used to find the projectile of ball throw or bomb throw
- Used to find speed of train, boat etc

It is believed that Babylonians were the first to solve quadratic equations. Greek mathematician Euclid developed a geometrical approach for finding solutions of quadratic equations. Solving of quadratic equations, in general form, is often credited to ancient Indian mathematicians.

Any equation of the form p(x) = 0, where p(x) is a polynomial of degree 2, is a quadratic equation. But when we write the terms of p(x) in descending order of their degrees, then we get the standard form of the equation. That is, ax^{2} + bx + c = 0, a ≠ 0 is called the standard form of a quadratic equation.

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