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UP Board students also take the benefits of these solutions and study material. Solutions are in Hindi and English Medium. It is very essential to learn quadratic equations, because it have wide applications in other branches of mathematics, physics, in other subjects and also in real life situations. A polynomial of degree two is called a quadratic polynomial. When a quadratic polynomial is equated to zero, it is called a quadratic equation.
A zero of a polynomial is that real number, which when substituted for the variable makes the value of the polynomial zero.
In case of a quadratic equation, the value of the variable for which LHS and RHS of the equation become equal is called a root or solution of the quadratic equation.
There are three algebraic methods for finding the solution of a quadratic equation. Brahmagupta an ancient Indian Mathematician A. Later Sridharacharya A. An Arab mathematician Al-khwarizni about A. It is believed that Babylonians were the first to solve quadratic equations. Greek mathematician Euclid developed a geometrical approach for finding lengths, which are nothing but solutions of quadratic equations.
Hence, the given equation is a quadratic equation. For any educational help, you may contact us without any hesitation. We will try to help you as soon as possible. How a quadratic polynomial is different from a quadratic equation? What is meant by zeros of a quadratic equation? It goes 30 km upstream and returns back at the same point in 4 hours 30 minutes.
Find the speed of the stream. Represent the following situation in the form of quadratic equation: The product of two consecutive positive integers is We need to find the integers.
Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been Find her marks in the two subjects. The difference of squares of two numbers is The square of the smaller number is 8 times the larger number. Find the two numbers. If the difference of their perimeters is 24 m, find the sides of the two squares. Chapter 5: Arithmetic Progression �.
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