## Exercise 1.1 (Math 10)

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)…

## Solution of Quadratic Equation by factorization

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…

## Matrices and Determinants

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…

## Solution of Quadratic Equation by Completing Square

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         …

To find the solution set of a quadratic equation, following methods are used: factorization completing square use of quadratic formula