Solution of Quadratic Equations
To find the solution set of a quadratic equation, following methods are used:
- factorization
- completing square
- use of quadratic formula
To find the solution set of a quadratic equation, following methods are used:
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…
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…
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 …
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…
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…
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)…
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