There are three categories in algebra: equations, expressions, and inequalities. Each of these has a variety of different types. There are several types of equations; the ones with the highest power of variable as 1, known as linear equations, then there are equations with variables with highest power two, cubic equations are the ones with the highest power three, and equations with higher powers are known as polynomials. The general form of a quadratic equation is given by; ax2 + bx + c = 0 There are four different methods of solving these equations, including "factoring," "completing the square," "Quadratic formula," and "graphing." Factoring is also known as "middle-term break." Start by finding the product of 1st and last term. Find the factors of product 'ac' in such a way that the addition/subtraction of these factors equals the middle term. Noe writes the center term using the sum of the two new factors. Form the following pairs; first two terms and the last two terms. Factor each pair by finding common factors. Now, factorize the shared binomial parenthesis. The second method is completing the square method; Start by transforming the equation in a way that the constant term is alone on the right side. If the leading coefficient is not equal to 1, divide both sides by a. Now, add the square of half the coefficient of the x -term, to both sides of the equation. The next step is to factor the left side as the square of a binomial. Proceed by taking the square root of both sides and then solve for x. The third method is through the use of the quadratic formula; It simply requires one to substitute the values into the following formula; x=(-b ± √(b2-4ac))/2a The fourth method is through the use of graphs. The roots of a quadratic equation are the x-intercepts of the graph.
A quadratic equation is an equation in which x represents an unknown, and a, b, and c represent known numbers, provided that a does not equal 0. In equations in which a equals 0, an equation is linear. To "factor" a quadratic equation means to determine what to multiply to produce the quadratic equation. In this set of worksheets, students will solve factorable quadratic equations, solve quadratic equations for the value of the variable, and solve quadratic equations with complex roots. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, ample worksheets for independent practice, reviews, and quizzes. When finished with this set of worksheets, students will be able to solve factorable quadratic equations, solve quadratic equations for the value of the variable, and solve quadratic equations with complex roots. These worksheets explain how to solve factorable quadratic equations and quadratic equations with complex roots. Sample problems are solved and practice problems are provided.
