Download the Universal Calculator App for Android Launch the App(mobile only) : Universal Calculator . Solving a Quadratic equation An equation of the format ax 2 +bx+c=0 where a != 0 is called quadratic equation. Example: 3x 2 +5x+6 = 0 Example: x 2 +2=0 Example : 2x 2 +2x=4 Method 1: By factorization. Here we factorize our equation so that it can be written in the format (x+a)(x+b)=0 We can then say that either (x+a)=0 or (x+b)=0 Depending on which one we consider to be equal to zero, we would have two different values for x. Let us try to understand this further by solving equation in example 3. The given equation can be re-written in ax 2 +bx+c=0 format as shown below. =>2x 2 +2x-4=0 =>a = 2, b = 2 & c = -4 Now to factorize this, we use grouping method. In this method we split the co-efficient of x (b) such that their product is equal to the product of co-efficient of x 2 (a) and const...
Introduction to Matrix, it's basic operations and using Universal Calculator app for Matrix Operations.
Download the Universal Calculator App for Android. Launch the App(mobile only) : Universal Calculator . Introduction In mathematics, A matrix is an arrangement of elements (numbers, symbols etc.) in the form of rows and columns. A matrix is generally denoted by enclosing the matrix name within square brackets as shown below. In the example given above, A is a matrix of order(dimension) 3 x 4 as it has three rows and 4 columns. Each element of a matrix is generally identified by using row and column numbers as its subscript, e.g. shown below. a 11 =2, a 12 =5, a 13 =6, a 14 =8 a 21 =5, a 22 =6, a 23 =8, a 24 =9 a 31 =8, a 32 =9, a 33 =7, a 34 =1 Matrices from a pure mathematical perspective represent linear algebraic functions, called vector space (we will get into detailed explanation of this statement in future articles). Matrices (Plural for matrix) and its properties are used in many applications such as solving System of linear equation, co...