Quadratic Equations Class 10 Revision & Important Questions

Quadratic Equations Class 10 – Continuing our series for Class 10 Revision for CBSE board exams, we bring you a new chapter today i.e. Quadratic equations. Every year, this chapter comes for 4 – 7 marks in boards.
If you analyse the previous year boards questions, you can observe that questions on discriminant and roots of equation and their nature are asked for 1 or 2 marks while solving quadratic equations to find roots and word problems are asked for 3 or 4 marks.

Concepts to be covered during this revision session of Quadratic Equations Class 10

  1. Roots of Quadratic Equation
  2. Methods of solving Quadratic Equation: – Factorisation – Quadratic Formula – Method of completing squares
  3. Nature of roots of quadratic equations
  4. Word Problems

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Let’s discuss each topic of Quadratic Equations Class 10 one-by-one

Roots of Quadratic Equation


Therefore, 1 is a solution of this equation.
Try and solve a previous boards question based on this topic:

Methods of Solving Quadratic Equation

A quadratic equation can be solved using: – Factorisation – Quadratic Formula – Method of completing squares. Lets revise these methods:

1. Factorisation
We all know how to factorise a quadratic polynomial. We have learnt this in Polynomials chapter.

Note that roots of a quadratic equation ax^2 + bx + c = 0 are same as zeros of quadratic polynomial ax^2 + bx + c

Let’s take a look at an example:

quadratic equations class 10quadratic equations class 10

2. Quadratic Formula: 

Roots of any quadratic equation ax^2 + bx + c = 0 can be given by

quadratic equations class 10

3. Method of completing squares:

By adding and subtracting a suitable constant, we club the x^2 and x terms in the quadratic equation to get a perfect square term, and solve for x.
Example:

quadratic equations class 10

Till now, in boards, no particular method has been specified to solve a question. You can use the method you are most comfortable with.

Nature of Roots of Quadratic Equations

The nature of roots of a quadratic equation can be identified from the discriminant of the equation. A quadratic equation has

  1. Two distinct real roots, if D > 0
  2. Two equal real roots, if D = 0
  3. No real roots, if D < 0

You should remember these conditions as at least one question in boards definitely comes on this concept. Lets look at a few questions that are asked in exam based on this concept:quadratic equations class 10

Word Problems

There is a high probability of getting word problem worth 4 marks from this chapter. The concepts on which the questions are asked are:

  1. Work done
  2. Speed – distance & time
  3. Cost of articles
  4. Age problems and similar real-life application based questions.

Always analyse statements in word problems carefully before forming equations. Lets look at an example of question that comes on this concept:

Previous Year Questions

Download Previous Year’s Questions Here

Let’s solve one of the questions:

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