Concise Selina Solutions for Class 10 maths Chapter 6 Solving Problems (Based on Quadratic Equations)

Quadratic equations are equations of the second degree. Many real-world situations deal with quadratic equations and parabolas. Students in this chapter will understand several applications of solving quadratic equations. Have you ever thought about how to solve these equations? Problems based on numbers, time and work, geometrical figures, distance, speed and time are included in this chapter. There are many ways of doing it, namely factorization method, formula method, completing the square etc. Let's explore some of them on this topic. 

The steps involved in solving a word problem based on the quadratic equation:

  • Represent the unknown quantity of the problem by variable 'x'.
  • Translate the given statement to form an equation in terms of 'x'.
  • Solve the equation.

E.g. Factorization Method

  • Clear all fractions and brackets wherever necessary
  • Bring all the terms to one side to get an equation of the form ax2+bx+c=0
  • Factorize the expression and write it as a product of 2 linear factors
  • Equate each factor to 0 and solve for the variable, say x.