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Equations Articles
Found 5 articles
Cross Multiplication Pair of Linear Equations in Two Variables
Introduction Cross multiplication method is used to solve linear equation in two variables. An algebraic equation in the form of $\mathrm{y\:=\:mx\:+\:b}$ is called a Linear equation. In this equation m is the slope, b is the intercept. x and y is the distance of this line from x-axis and y-axis. The solution of each equation represents a point on the line. An equation in the form of $\mathrm{ax\:+\:by\:+\:c\:=\:0}$ where a, b, c are real numbers, and the values of both a and b are not zero. Now this equation will be called the linear equation in two variables x and ...
Read MoreNature of Roots of Quadratic Equation
Introduction The solutions of the quadratic equation ax2+bx+c=0 serve as the quadratic equation's roots. They are the values of the variable x that the equation requires. The x-coordinates of the x-intercepts of a quadratic function are the roots of the function. A quadratic equation can only have a maximum of two roots because its degree is 2. The nature of these roots of the quadratic equation is solely dependent on the value of the determining factor which is called a discriminant of the quadratic equation about which we will be discussing in this tutorial. Quadratic Equation ...
Read MoreQuadratic Equation Questions
Introduction A quadratic equation is a polynomial equation with the highest degree of two. The values satisfying the quadratic equation are called roots of them. There are a few methods to solve a quadratic equation and find its roots. The roots can be calculated using the factorization method by splitting the middle term, converting the quadratic equation into a complete square, and using the quadratic formula. Quadratic Equations A Quadratic equation is a polynomial equation of one variable with a degree of two. The general form of a quadratic equation f(x)=ax2+bx+c=0, in which x is the unknown variable, a≠0, ...
Read MoreQuadratic Equation Worksheet
Introduction A quadratic equation is a polynomial equation with the highest degree of two. The values satisfying the quadratic equation are called roots of them. There are a few methods to solve a quadratic equation and find its roots. The roots can be calculated using the factorization method by splitting the middle term, converting the quadratic equation into a complete square, and using the quadratic formula. Quadratic Equations A Quadratic equation is a polynomial equation of one variable with a degree of two. The general form of a quadratic equation f(x)=ax2+bx+c=0, in which x is the unknown ...
Read MoreDifferential Equations
Introduction We need to develop various mathematical models to establish relationships between multiple variables in real life. In this direction, differential equations play an important role. These are applied parts of mathematics and used in calculus. In this tutorial, we will discuss the meaning, order, degree, and types of differential equations with solved examples. Differential Equations Differential equations are mathematical statements containing functions and their derivatives. It describes the relationship between the variables with their rate of change. It is used in engineering, science, biology, finance, etc. The differential equations contain at least one ordinary derivative or partial derivative term. ...
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