Class 10 Maths Quadratic Equations Quadratic Equation

Quadratic Equation

A quadratic equation in the variable x is an equation of the form ax2 + bx + c = 0, where a, b, c are real numbers, a ≠ 0.  E.g.: 2x2 – 3x + 7 = 0,

Application:

  1. Used to find effective resistance of a circuit
  2. Used in the field of communications
  3. Used to find the field of architecture
  4. Used in the field of finance to find demand supply relation
  5. Used to find the projectile of ball throw or bomb throw
  6. 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, ax2 + bx + c = 0, a ≠ 0 is called the standard form of a quadratic equation.

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