Class 10 Maths: Quadratic Equations Olympiad Questions

Quadratic polynomials and quadratic equations are related terms. We have to look for the quadratic polynomial to get the quadratic equation. Generally, the quadratic polynomial is a term in which the degree of the polynomial is equal to two. And when we put these quadratic polynomials equal to zero.

The standard form of quadratic equations

• When p(x) = 0, it is known as the quadratic equation.
• It is ax2 + bx + c = 0.

Quadratic equation types

• Complete quadratic equation:

  ax2 + bx + c = 0, and in the equation whole are elements that are not equal to zero.

• Pure quadratic equation:

  ax2 comes in the category of the purr quadratic equation, and in the equation, instead of an, all other elements are equal to zero,i.e., b= 0, and c = 0.

Methods

Many methods are there that will help you to solve the quadratic equation. Some main methods of getting the solution of the quadratic equation are given below:

• Completing square method:

  In such a method, we have to convert the equation into the form of a square,i.e., (x+a)^2 - b^2 = 0.

• Quadratic formula method:

  In this method, we will get the solution using a specific formula. The formula is given below:

  x = -b +,- √b^2 - 4ac / 2a