Simple Algebra Calculator

Algebra is one of the most important topics in mathematics. Algebra covers quadratic equation, arithmetic progression, cubic equation, quadratic equation, arithmetic progression, sum of consecutive cubes, equation solver and etc., In this document we shall discus about “simple algebra calculator” with suitable example problems.

Simple Algebraic Equation:

A algebraic equation is the set of the variables, constant and arithmetic operators like addition, subtraction, multiplication, division and equal operators.

To solve the simple algebraic equation using calculator, we have to enter the coefficient of x and y and the constant term. After clicking the calculate button the value of x and y will be displayed on answer box. The algebraic equation calculator is shown below.

Simple Algebraic Equation

Example problem on algebraic equation:

Evaluate the unknown variable for the following algebraic equation.

4x - 5y = 12 ----- (1)

2x+5y = 24 ------ (2)
Solution:

Step 1: Add equation (1) and (2) ,we get
4x - 5y = 12

2x+5y = 24

---------------

6x        = 36

Divide by 6 on both sides,

`(6x)/6 = 36/6`

X = 6
Step 2: Plug x value in second equation;
2x+5y = 24

2 (6) + 5y = 24
Step 3: Expand and simplify the equation:
12 + 5y = 24
12 +5y – 12 = 24 - 12
5y = 12

Divide by 5 on both sides, we get

` (5y)/5 =12/5`

y = 2.4

Algebraic equation of two variable x =6 and y =2.4
Simple Quadratic Equation Calculator:

An equation is collection of  more than one terms are squared but no higher power in terms, having the syntax, ax2+bx+c where a represents the numerical coefficient of x2, b represents the numerical coefficient of x, and c represents the constant term

Example: 3x2- 5x + 15

To evaluate the quadratic equation using calculator, we have to enter the value of coefficient of x2 and x and the constant term. After clicking the calculate button the value of x will be displayed on answer box. The quadratic equation calculator

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Example problem of quadratic equation:

Calculate the unknown value in quadratic equation

x2 + 11x - 42

Solution:

Step 1: Multiply the coefficient of x2 and the constant term,

1*-42 = -42 (product term)

Step 2: Find the factors for the product term

-42 --- > 14*-3 = -42 (factors are 14 and -3)

-42 --- > 14-3 = 11 (11 is equal to the coefficient of x)

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Step 3: Separate the coefficient of x

x2 + 11x - 42

x2-3x+14x-42

Step 4: The common term x for the first two terms and 14 for the next two terms are taking outside

x(x - 3) + 14 (x - 3)

(x - 3) (x + 14)

Roots of the quadratic equations (x - 3) (x + 14)