When we get introduced by the basics of algebra then we learn about base, exponent, term or order etc. After the clarity of basics, we learn about the degrees of polynomials. As we know that polynomials are based on variables, constants, and exponents. The exponents of the variables of the polynomials are based on positive integers. The polynomials are separated by plus or minus sign and each separated polynomial is known as a term. If the polynomial is based on one term is known as monomial, if based on two terms is known as binomial, and if it is based on three terms is known as trinomial. Now we know how to determine the degree of a polynomial; it is very simple. First of all, we separately add up the exponents of each term and then will select the highest one which will be called the degree of polynomial. After a little introduction about the polynomial, we come to our targeted topic, the quadratic equation. The word Quadratic is derived from a Greek word Quadratum which means double. The quadratic equation is based on the second degree of the polynomial because at least one variable in Quadratic equation is squared. The standard form of the Quadratic equation is \( ax^2 + bx + c = 0 \), where x is an unknown variable, a, b, & c are any numbers or constants and a is not equal to zero.
Formula For Quadratic Equation:
The formula which we use to calculate the quadratic equation is as:
\( x = -b \pm \dfrac{\sqrt{b^2 – 4ac}}{2a} \)
Example:
\( 2x^2 – 8x – 24 = 0 \)
In this Quadratic equation a = 2, b = – 8, & c = -24. Now apply the formula:
\( x = -(-8) \pm \dfrac{\sqrt{(-8)^2 – 4(2)(-24)}}{2(2)} \)
\( x = 8 \pm \dfrac{\sqrt{64 + 192}}{4} \)
\( x = 8 \pm \dfrac{\sqrt{256}}{4} \)
\( x = 8 \pm \dfrac{16}{4} \)
\( x = 8 + \dfrac{16}{4} \),\( x = 8 – \dfrac{16}{4} \)
\( x = \dfrac{24}{4} \),\( x = \dfrac{-8}{4} \)
\( x = 6 \),\( x = -2 \)
Thus, solution sets [ 6, – 2] Answer.
If you are included in those persons or students who are finding the formula for Quadratic equation then our Quadratic formula calculator is here to solve your problem.
Quadratic Formula Calculator Or Quadratic Equation Solver Calculator
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Methods To Solve Quadratic Equation
There are four methods to solve the quadratic equation:
Quadratic formula
Completing the square.
Graphing
Factoring
We have discussed the quadratic formula above then now we will just discuss here the most important factoring method to solve the quadratic equation. In the factoring method the quadratic equation is solved in this way that first we standardize the equation then factorizes the non-zero side and finally set each factor to zero. After this process we get the equation then we solve it easily and find the solution sets for the variable X.
In the factoring method it is essential to understand the factorization first but if you have a problem in understanding factorization and you are finding a factoring quadratics calculator for help, our factoring quadratics calculator is waiting to solve your Quadratic equation by factoring method.
Are You Finding The Quadratic Function Calculator?
Our aim is to assist you in understanding the quadratic function and to solve quadratic equations easily. If you try to find the quadratic function calculator to get accuracy in your results then try our Quadratic function calculator because your problem will be solved here in less time with accuracy.