What Is A Root In Math Quadratic Equation

If the discriminant is positive.

What is a root in math quadratic equation.

B sqrt b 2 4ac 2a and b sqrt b 2 4ac 2a. This is an easy method that anyone can use. 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. As we saw before the standard form of a quadratic equation is.

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. The solutions called roots. Another way to find the roots of a quadratic function. Because b 2 4ac discriminates the nature of the roots.

Play with the quadratic equation explorer so you can see. 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. It is just a formula you can fill in that gives you roots. These are all quadratic equations in disguise.

Solution to problem 4. This formulas give both roots. Write the quadratic equation given the following roots. To examine the roots of a quadratic equation let us consider the general form a quadratic equation.

Only if it can be put in the form ax 2 bx c 0 and a is not zero. 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. The graph it makes and. 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. The formula is as follows for a quadratic function ax 2 bx c.