What Is A Root In Math Quadratic Equation

The formula is as follows for a quadratic function ax 2 bx c.

What is a root in math quadratic equation.

The name comes from quad meaning square as the variable is squared in other words x 2. The solutions called roots. Because b 2 4ac discriminates the nature of the roots. This formulas give both roots.

Only if it can be put in the form ax 2 bx c 0 and a is not zero. These are all quadratic equations in disguise. This is an easy method that anyone can use. To examine the roots of a quadratic equation let us consider the general form a quadratic equation.

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. The graph it makes and. 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. 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.

If the discriminant is positive. 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. Write the quadratic equation given the following roots. As we saw before the standard form of a quadratic equation is.

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. 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. Another way to find the roots of a quadratic function. It is just a formula you can fill in that gives you roots.

B sqrt b 2 4ac 2a and b sqrt b 2 4ac 2a. 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.