Are you the one who find difficulty, in solving quadratic equations or the polynomial equations? Then do not worry as in this article you will get to know and learn how to solve quadratic equation. But before you leap to solve the equation, you must know everything about algebraic equations. Students find difficulty because they do not know the exact procedure to solve the equations. This not only prevents them from getting good grades but they also lose hope, thinking they will never solve algebraic problems. So, do read the article and solve the problems in the very short span.
What is an algebraic equation?
In mathematics, an equation of formation P = Q is known as the polynomial or algebraic equation, where P&Q are polynomials. The equation may contain single or multiple variables in a given field. For example, x^2-x+1=0 is an algebraic equation with single variable and x^2-xy-2=5 is a polynomial equation with two variables. The solution of any equation depends on the value which satisfies the given equation. The values are known as the roots of the equation. You can solve the equation using the formula as where a, b and c are the coefficient of the equation.
How to solve using the quadratic equation:
Suppose the given equation is x^2+5x+6=0, this equation can be solved using the given formula
Method 1: Here, a= 1, b= 5 and c= 6. So from the quadratic equation,
This gives, x= -2& -3.
Method 2: the Second method is known as hint and trail method. Put x= -2 in the given equation x^2+5x+6=0, if the equation becomes zero on both sides, then x will be – 2.
Similarly, put x- -3 you will get the same result. You can start by putting x=0, 1, 2…….till you find the exact solution. But using the first method seems to be safer than this as the second method consumes time.
How to factor:
Example: Suppose you have given an equation as X^2+2X+ 1=0.
Solution: The given equation can be written as
X(X+1) +1. (X+1) =0
So, the common factor is X+1 for the given problem. The whole equation as (X+1)(X+1) = X^2+2X+1.
Example: Given a higher degree polynomial as 2X^5+4X^4+2X^3+2X^2
Solution: This equation can be written as 2X^3(X^2+2X) + 2X(X^2+2X), the common factor is (X^2+2X). So, the given equation can be written as (2X^3+2X) (X^2+2X).
Best algebra software:
Have you heard of the algebra software? They are specially made to solve the quadratic equation in a matter of few seconds. There is much software available in the market, and you can take advantage of it. They provide the customer resourceful calculator so as to solve the problem. This is best known because of the fact that they not only help you out in finding solution to the problem but they also help to explore your knowledge regarding the algebra. Many of the customers have already availed the benefits of it, and if you find difficulty in finding the solution, then you too can use the software.
Now you know very well how to solve the quadratic equation quadratic equation quickly.
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