Quadratic equations have been around for centuries! No really, they have been around since 2000 B.C. Indian mathematicians Brahmagupta and Bhaskara II made some very significant contributions to the field of quadratic equations. Although quadratic equations look complicated and generally strike fear among students, with a systematic approach they are easy to understand. Let us get started.
- Introduction to Quadratic Equations
- Solving Quadratic Equations
- Application of Quadratic Equations
- Nature of Roots
FAQs on Quadratic Equations:
Question 1: Give a suitable example for the quadratic equation?
Answer: A quadratic equation is the equation of the 2nddegree. This means that it comprises at least one (1) term that is squared. The standard form of the formula is ‘ax² + bx + c = 0’ here a, b, and c are constants or numerical coefficients. ‘X’ here is an unknown variable.
Question 2: What is the use of the quadratic equations?
Answer: The quadratic equations are actually used by us in our daily lives. We use the quadratic equations while calculating the area, determining a product’s profit, formulating the speed of some object.
Question 3: Why the quadratic equations are important?
Answer: Actually, the quadratic equation has many purposes in the scientific and mathematical world. The quadratic equation is mostly helpful for finding out the curve on a Cartesian grid. It is mainly used for finding the curve that objects take during the time when they fly through the air.
Question 4: How many types of quadratic equations are there?
Answer: There are 3 types of Quadratic Equations:
- y = ax2 + bx + c.
- y = (ax + c)(bx + d).
- 3. y = a(x + b)2 + c.
You can download NCERT Solutions for Class 10 Mathematics here