algebra squaring

I Method - Methods of completing a square and to derive the formula for the solution of the quadratic equatio..

There are two methods to derive the formula for the solution of the quadratic equation (i) Simple Method and (ii) By Sridhar's Method. The quadratic equation has two root..

There are four methods of solving quadratic equations. i) By factorization ii) By completing the squares iii) By using the formula iv) By graphi..

(2ax) 2 + 2(2ax)b +b 2 = b 2 - 4ac [Adding b 2 to both sides (square of the coefficient of x..

If a > b, then we have the following rules: a + l > b + l for any l R a - l > b - l for any l R - a < - b l a > l b for any positive real number l l a < l b for any negative real number l..

Nature of the roots - Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots are ratio..

Recall, a quadratic equation is of the form . An equation is said to be reducible to quadratic (or of quadratic form) if the variable factor of the leading term is the square of the variable factor in the second variable term. We can solve these types of equations if we make an appr..

Methods of completing a square and to derive the formula for the solution of the quadratic equation. ..

1. i) Upto step 6 in the I Method and upto Step 7 in the II Method, gives the process of completing the square. ii) The quadratic equation has two roots. (i.e., there are two values for x) is b 2 - 4ac. This is usually denoted by D or D. D determines the nature of the roo..

Summary - If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If the polynomial can be expressed as the difference of two squares, we u..