# Solution of Quadratic Equations

To find the **solution set** of a quadratic equation, following methods are used:

- factorization
- completing square
- use of quadratic formula

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# Solution of Quadratic Equations

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### Solution of Quadratic Equation by factorization

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To find the **solution set** of a quadratic equation, following methods are used:

- factorization
- completing square
- use of quadratic formula

Byplayzall

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Question 1. Find the order of the following matrices. Solution: $$ A = \begin {bmatrix} 2 & 3 \\ -5 & 6 \\ \end{bmatrix} $$ Order of matrix A is 2-by-2 $$ B = \begin {bmatrix} 2 & 0 \\ 3 & 5 \\ \end{bmatrix} $$ Order of matrix B is 2-by-2 $$…

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The matrices and determinants are used in the field of Mathematics, Physics, Statistics, Electronics and other branches of science. The matrices have played a very important role in this age of computer science. The idea of matrices was given by Arthur Cayley, an English mathematician of nineteenth century, who first developed, “Theory of Matrices” in…

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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 +…

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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…

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