Sum and Product of Roots

A Sum and Product of Quadratic Equation Roots is a well-recognised equation in the algebraic syllabus and we all have studied it in our +2 syllabus. There is a separate chapter of this equation in our syllabus which is considered very significant from the exam point of view as well.

Sum and Product of Quadratic Equation Roots

A quadratic equation starts in its general form as ax²+bx+c=0 in which the highest exponent variable has the squared form, which is the key aspect of this equation. Further the equation is comprised of the other coefficients such as a,b,c along with their fix and specific values while we have no given value of the variable x.

In the quadratic equation we figure out the value of x by factoring the whole equation and the value, which we have at the end is the one which satisfies the equation and there are generally two solutions of the equation.

The two solutions of the equation are also known as the roots of the equations and here in this article we are basically going to discuss about the roots of quadratic equations for the consideration of all our scholars readers.

As we know that we use the formula of b²-4ac to figure out the roots and their types from the quadratic equation, but the same formula can calculate much more from the quadratic equation. Using the same formula you can establish the relationship between the roots and figure out the sum/products of the roots.

It’s actually quite easy to figure out the sum and the product of the roots, as we just have to add both the roots formula to find out the sum and multiply both of the roots to each others in order to figure the product.

You can see the simple application for the product and the sum of the roots below and get the ultimate formula, which we derive from the application to find out the product/roots of the equation.

Sum of Roots

Product of Roots

So, this is the ultimate formula which we have figured from the above calculations and the next time when you want to get the product and the sum of the roots of quadratic equation, then you can simply apply this formula to get the desired outcome.

Formation of Quadratic Equation

Roots of Quadratic Equation

In the more elaborately manner a quadratic equation can be defined, as one such equation in which the highest exponent of variable is squared which makes the equation something look alike as ax²+bx+c=0

In the above mentioned equation the variable x² is the key point, which makes it as the quadratic equation and it has no known value. Further the equation have the exponent in the form of a,b,c which have their specific given values to be put into the equation.

Quadratic Equation Roots

Well, the quadratic equation is all about finding the roots and the roots are basically the values of the variable x and y as the case may be. The roots are basically the solutions of the whole equation or in other words it is the value of equation, which satisfies equation.

If any quadratic equation has no real solution then it may have two complex solutions. In case the equation holds single solution, then it is known as the double root values and here we are going to talk about the calculation of the root of the equation.

The above mentioned formula is what used for the calculation of the quadratic roots and in order to apply this formula we first have to get our equation right in accordance to ax²+bx+c=0 and get the separate values of the coefficients a,b and c so that it can be put into the formula.

We will ultimately get the value of x by solving the above mentioned formula and it will become the roots of the equation. This formula is ideal to be used when the quadratic equation becomes tricky to figure out the roots of the equation.

Sum and Product of Roots

Sum and Product of Quadratic Equation Roots with Examples

Sum and Product of Quadratic Equation Roots