If the discriminant - the part under the radical sign in the quadratic formula - is negative, then the result is complex, it is as simple as that. You can't convert a complex number to a real number. If a particular problem requires only real-number solutions, then - if the formula gives complex numbers - you can state that there is no solution.
The Quadratic formula in mathematics is used to solve quadratic equations in algebra. The simplest way to solve these equations is to set each of the factors to zero and then solve each factor separately.
josh hutcherson
It is not always better.Although quadratic equations always have solutions in the complex system, complex solutions might not always make any sense. In such circumstances, sticking to the real number system makes more sense that trying to evaluate an impossible solution in the complex field.
Solving a system of quadratic equations involves finding the values of the variables that satisfy all equations in the system simultaneously. This typically requires identifying the points of intersection between the curves represented by the quadratic equations on a graph. The solutions can be real or complex numbers and may include multiple pairs of values, depending on the nature of the equations. Techniques for solving these systems include substitution, elimination, or graphical methods.
Factor it! Set each equal to zero! Solve
Pros: There are many real life situations in which the relationship between two variables is quadratic rather than linear. So to solve these situations quadratic equations are necessary. There is a simple equation to solve any quadratic equation. Cons: Pupils who are still studying basic mathematics will not be told how to solve quadratic equations in some circumstances - when the solutions lie in the Complex field.
The Quadratic formula in mathematics is used to solve quadratic equations in algebra. The simplest way to solve these equations is to set each of the factors to zero and then solve each factor separately.
josh hutcherson
1+1=2
Graphically might be the simplest answer.
It is not always better.Although quadratic equations always have solutions in the complex system, complex solutions might not always make any sense. In such circumstances, sticking to the real number system makes more sense that trying to evaluate an impossible solution in the complex field.
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
It is used to solve quadratic equations that cannot be factored. Usually you would factor a quadratic equation, identify the critical values and solve, but when you cannot factor you utilize the quadratic equation.
Solving a system of quadratic equations involves finding the values of the variables that satisfy all equations in the system simultaneously. This typically requires identifying the points of intersection between the curves represented by the quadratic equations on a graph. The solutions can be real or complex numbers and may include multiple pairs of values, depending on the nature of the equations. Techniques for solving these systems include substitution, elimination, or graphical methods.
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
Wolfram Alpha can solve not just quadratic equations, but all sorts of equations. Note that in this particular website, you can see the solution for free, but you need a paid subscription to show the steps. I am sure there are other websites that can help you as well; you may want to try a Web search for "quadratic equation", for example. On the other hand, you should definitely learn to solve quadratic equations on your own.
Factor it! Set each equal to zero! Solve