# Concise Mathematics Class 9 ICSE Solutions for Chapter 7 - Quadratic Equations

## ICSE Class 9 Mathematics Chapter 7 Selina Concise Solutions - Free PDF Download

Concise Mathematics Class 9 Chapter 7 Quadratic Equations includes the solutions to all the questions provided in the Selina Concise Mathematics textbook. The questions from each section are designed and solved accurately by the subject experts at Vedantu. The exercise given in this chapter should be studied with utmost sincerity if you want to score maximum marks in the examination. Maths is a subject that usually asks for a thorough understanding and practice. The tips and formulas to solve the equations related to the quadratic equations are given in each solution.

Quadratic equations can be seen in several situations around us. Hence, students should give special attention to memorizing the important concepts related to the chapter. Selina Concise Mathematics Solutions for Class 9 helps students in learning the concepts and evaluating themselves. Practising these questions repeatedly helps students to overcome their shortcomings. The questions given in the Mathematics chapters have either a correct answer or the wrong one. Hence, it is necessary to focus while solving the questions to score maximum marks in the examination.

### Concise Mathematics Class 9 Chapter 7 Quadratic Equations - Download PDF

Download the updated Class 9 Chapter 7 Quadratic equations solutions offered by Vedantu in a stepwise method. The solutions are given here to help students prepare for their examination as it is prepared as per the latest ICSE guidelines. The Concise Mathematics Class 9 Chapter 7 solutions are designed by the teacher who is experts in Mathematics and that’s the reason you should be assured about the solutions offered by Vedantu here. Download the free PDF of Concise Mathematics Class 9 Chapter 7 Quadratic Equations given below.

### Concise Mathematics Class 9 Chapter 7 Quadratic Equations Solutions by Vedantu

Mathematics plays an important role in the field of Science and Technology. Vedantu aims at designing the solutions for this chapter to help you to get the concept of this chapter without any issues. The detailed and stepwise solutions for all the questions given in the exercise are considered to be important for those who wish to pursue Mathematics in the future.

Mathematics is the most scoring subject and can be solved easily when all the concepts are thoroughly clear. Hence, it is better to practice the most important questions thoroughly rather than practising all the questions given in the chapter. The Concise solution for Class 9 Chapter 7 introduces the first-class quality of objective, precision and accuracy along with the sharpening of your mind. The solutions given here are strictly designed as per the latest ICSE syllabus.

### What are Quadratic Equations?

The term quadratic equation is derived from the Latin word “Quadratum” which implies “ A squared figure”. The term quadratic equations were initially used by the Babylonians.

Quadratic equations can be stated as the polynomial equation of second degree, which implies that it includes one minimum term that is squared. The standard form of the quadratic equation is ax² + bx + c, where x is an unknown variable, and the terms a, b, and c are numerical coefficients. In the quadratic equation, the value of 'a' is not equal to zero because if the value of ‘a’ will be equivalent to zero, then the equation will not be a quadratic equation anymore. It will become the linear equation.

The term a, b, and c are also known as quadratic coefficients. The solutions of the quadratic equations are the values of unknown variables x, which satisfies the given equations. The solutions are known as the roots or zeros of the quadratic equations. The L.H.S. and R.H.S. of the quadratic equations should be equivalent to each other.

### Quadratic Equations Formula

The Quadratic Equation formula helps you to evaluate the solutions of the quadratic equation by using the factorization method. The quadratic equation in the form of ax² +bx + c, where x is an unknown variable and the terms a, b, and c are real numbers and are also known as numerical coefficients. Here, we need to find the solution of ‘x’ which is an unknown variable. The quadratic equation formula to find the solution of the quadratic equation is given by:

x = -b\[\pm\]\[\sqrt{b^{2}-4ac}\]/ 2a

The (\[\pm\]) represent that there are two solutions to the quadratic equations such as

x₁ = -b+\[\sqrt{b^{2}-4ac}\]/ 2a and x₂ = -b -\[\sqrt{b^{2}-4ac}\]/ 2a

### Quadratic Equations Applications

Various real-life problems can be solved using the quadratic equations. These are:

We can calculate the area of the quadrilateral such as the rectangle, parallelogram, etc with the help of the quadratic equations.

The real-world's problems related to speed, distance, and time can be solved using the quadratic equations.

Quadratic equations also play an important role in the education system. Lakhs of students use the concept of the quadratic equation each day. If you are a Physics or Mathematics teacher or student, you must be dealing with the types of quadratic equations regularly.

### Apart from the Above Applications, Quadratic Equations Are Also Used

To calculate the room area

Agriculture

Engineering

Determining speed

A Satellite dish

### Key Features of Selina Solutions by Vedantu

Concise Solution for Class 9 Mathematics is the feasible study material designed by the experts at Vedantu to enable you to solve and revise the complete syllabus in the form of chapters and solutions.

The solutions are designed as per the latest ICSE syllabus and guidelines.

It includes stepwise solutions and categorized exercise that simplify your problem and help you to score maximum marks in the examination.

The content is kept concise, brief and self-explanatory.

Complicated questions are split into simpler parts to save students from the unnecessary strain on their minds.

It covers the complete chapter along with the important examples and formulas. You can get the core knowledge of the complete chapter and the important concepts related to it.

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