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:
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…
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…
Row Matrix A matrix is called a row matrix, if it has only one row. e.g., the matrix $ M = \begin {bmatrix} 2 & -1 & 7 \\ \end{bmatrix} $ is a row matrix of order 1-by-3 and $ N = \begin {bmatrix} 1 & -1 \\ \end{bmatrix} $ is a row matrix of…
Real Numbers Properties of Real Numbers For any real numbers a, b and c; $$ \forall \; a, b \in R \quad \Rightarrow \quad a+b \in R $$ $$ \forall \; a, b \in R \quad \Rightarrow \quad a . b \in R $$ $$ (a + b) + c = a + (b +…
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…
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