feed-o-math

A very important concept to understand graphs and their nature which leads to better graph plotting.

Graphing a quadratic equations is a big challenge for most of you , we bring the methods to draw their graphs on the go.

In the previous post in which we talked about finding the roots of a equation, we talked about the sum and products of a quadratic , now the proof to them is what we will be learning here.

The most important thing about any polynomial are its roots. In this post we are going know the four ways of finding the roots of a quadratic equation. Lets understand first what roots mean for any equation in x. Graphically, These are points where the graph of that expression in x cut or touch the x axis which is obvious as theoretically we studied that root is the point where the expression gives y=0 and for any point on graph with y=0 it lies of x axis. Lets see some examples- It has two roots It has 1 root It has no root By counting the number of points where the graph cuts or touches the x axis gives us the number of roots possessed by that equation. Now lets see the ways in which we can solve to find the roots of quadratic equation - 1. Middle Term Splitting method- This method follows a protocol and it not easy for some equation to apply this however in most places it is applicable. Lets take an example 2 x 2  + 3x - 2 = 0 Step 1: Compare this with the standard equation i.e....

In this post we will be going to study about quadratic equations. Quadratic equations are those equations which have overall degree to be 2. The general form for any quadratic equation in x is - ax 2  + bx + c = 0 ,  where  a ≠ 0 The graph of this kind of equations are parabolas. The equations has degree two hence it will have atmost two real roots. What are roots? Roots or zeroes are the values of x for which the polynomial  P(x)  =  ax 2  + bx + c  becomes equal to zero. We should be very careful about the fact that a quadratic equation has maximum of two real roots . There are three  four ways to find the roots of a quadratic equation which we will learn in upcoming posts. 1. Middle term splitting. 2. Completing the square. 3. Using Sridharacharya Formula or Quadratic formula. 4. A differeent way.(by Po-Shen Loh ) Stay Tuned  for the next post. For any query comment down there. #graphs_on_the_go  # understanding_graphs #mat...