Question 1. Write the following quadratic equations in the standard form and point out pure quadratic equations. $ \pmb{ (i). \;\;\;\;\; (x + 7) (x − 3) = -7} $ Solution: The given quadratic equation is $$ (x + 7) (x − 3) = -7 \;\;\;\;\; (i) $$ Multiplying the expressions $ (x + 7)…
In this method, write the quadratic equation in the standard form as ax2 + bx + c = 0 (i) If two numbers r and s can be found for the equation (i) such that r + s = b and rs = ac then ax2 + bx + c can be factorized into two…
A body is said to be vibrating if it moves back and forth or to and fro about a point. Another term for vibration is oscillation. A special kind of vibratory or oscillatory motion is called the Simple Harmonic Motion (SHM). Simple Harmonic Motion (SHM) A body is said to be executing Simple Harmonic Motion…
The last couple of years have been a long bumpy ride for me, as they have for everyone of my age. The experiences might be different but everyone has gone through many of the same “teenage” circumstances as I have done. All of them have dealt with them in their own way. As a personal…
News coverage over television is different from reading newspapers. Newspapers were primarily established to cover the news and later on they added entertainment. On the other side television was mainly invented for entertainment and then it became an effective news medium. Now television news has become a powerful rival to newspapers. Though both of these…
To solve a quadratic equation by the method of completing square is illustrated through the following examples. Example Solve the equation x2 − 3x − 4 = 0 by completing square. Solution: x2 − 3x − 4 = 0 (i) Shifting constant term −4 to the right, we have x2 − 3x = 4 …
We all need help at times in our lives. Sometimes we may have accidents and we may get hurt. When we are injured or suddenly become unwell, we need some one to help us — someone who knows what to do. It is the temporary and immediate help. This timely assistance, comprising of simple medical…
Generally, we presume that most chemical and physical changes proceed to completion. A complete reaction is one in which all reactants have been converted into products. However, most chemical reactions do not go to completion because products react themselves to form the reactants. As a result, after sometime no further change takes place. Quantities of…
Chinese New Year is a holiday that celebrates the beginning of a new year according to the according to the Chinese lunar calendar. It is considered to be one of the most important holidays for Chinese families. The holiday is celebrated with big family gatherings, gift giving, the eating of symbolic foods and display and…
Hazrat Muhammad’s ﷺ life is a perfect model and example for the people who want to attain goodness, piety and success in their individual as well social life. People can seek light from the message and guidance from his life to achieve perfection in the moral, spiritual and social areas of life. He ﷺ has set very…
To find the solution set of a quadratic equation, following methods are used: factorization completing square use of quadratic formula
An equation of 2nd degree is called quadratic equation. In more detail, the quadratic equation is an equation, which contains the square of the unknown (variable) quantity, but no higher power. General or standard form of a quadratic equation: A 2nd degree equation in one variable x of the form as below, where a ≠ 0…
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