What Is A Root In Math Quadratic Equation

We can help you solve an equation of the form ax 2 bx c 0 just enter the values of a b and c below.

What is a root in math quadratic equation.

4 and 2 show answer there are a few ways to approach this kind of problem you could create two binomials x 4 and x 2 and multiply them. The quadratic formula gives that the roots of this equation are 2 and 4 and both of these are real so the equation has two real roots. To examine the roots of a quadratic equation let us consider the general form a quadratic equation. Consider the quadratic equation a real number x will be called a solution or a root if it satisfies the equation meaning it is easy to see that the roots are exactly the x intercepts of the quadratic function that is the intersection between the graph of the quadratic function with the x axis.

The name comes from quad meaning square as the variable is squared in other words x 2. Write the quadratic equation given the following roots. The formula is as follows for a quadratic function ax 2 bx c. Another way to find the roots of a quadratic function.

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. 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. This formulas give both roots. These are all quadratic equations in disguise.

If the discriminant is positive. Solution to problem 4. It is just a formula you can fill in that gives you roots. For the quadratic formula to work you must have your equation arranged in the form quadratic 0 also the 2a in the denominator of the formula is underneath everything above not just the square root and it s a 2a under there not just a plain 2 make sure that you are careful not to drop the square root or the plus minus in the middle of your calculations or i can guarantee that.

The graph it makes and. Play with the quadratic equation explorer so you can see. Ax 2 bx c 0 here a b and c are real and rational numbers to know the nature of the roots of a quadratic equation we will be using the discriminant b 2 4ac. Only if it can be put in the form ax 2 bx c 0 and a is not zero.

This is an easy method that anyone can use. Because b 2 4ac discriminates the nature of the roots.