A Quadratic Equation is usually written ax2 + bx + c = 0, where x is an unknown variable and a,b,c are numerical coefficients Here, a ≠ 0 because if it equals to zero then the equation will not remain quadratic anymore and it will become a linear equation, such as bx+c=0.
where ± (one plus and one minus) represent two distinct roots of the given equation.
Quadratic Equation Definition
The polynomial equation whose highest degree is two, is called a quadratic equation. It is expressed in the form of:
ax² + bx + c = 0
where x is the unknown variable and a, b and c are the constant terms.
Since the quadratic include only one unknown term or variable, thus it is called uni-variate. The power of variable x are always non-negative integers, hence the equation is a polynomial equation with highest power as 2.
The solution for this equation is the values of x, which are also called as zeros. Zeros of the polynomial are the solution for which the equation is satisfied. In the case of quadratics, there are two roots or zeros of the equation. And if we put the values of roots or x in the Left-hand side of the equation, it will equal to zero. Therefore, they are called zeros.
Solution of Quadratics by Factorization
Begin with a equation of the form ax² + bx + c = 0
Ensure that it is set to adequate zero.
Factor the left-hand side of the equation by assuming zero on the right-hand side of the equation.
Assign each factor equal to zero.
Now solve the equation in order to determine the values of x.
Creating android application:
screen 1:
Main Page
The Below Blocks for Input Initialize and Math block for formula for Quadratic equation.
Applications of Quadratic Equation
Many real-life word problems can be solved using quadratic equations. While solving word problems, some common quadratic equation applications include speed problems and Geometry area problems.
Solving the problems related to finding the area of quadrilateral such as rectangle, parallelogram and so on
Solving Word Problems involving Distance, speed, and time, etc.,