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Q: Which method of solving quadratic equations should be used when only an estimated solution is necessary?
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Which of the following systems of equations has no solution?

If they are quadratic equations then if their discriminant is less than zero then they have no solutions


Why are there usually two solutions to a quadratic equation?

In the graph of a quadratic equation, the plotted points form a parabola. This parabola usually intersects the X axis at two different points. Those two points are also the two solutions for the quadratic equation. Alternatively: Quadratic equations are formed by multiplying two linear equations together. Each of the linear equations has one solution - multiplying two together means that the solution for either is also a solution for the quadratic equation - hence you get two possible solutions for the quadratic unless both linear equations have exactly the same solution. Example: Two linear equations : x - a = 0 x - b = 0 Multiplied together: (x - a) ( x - b ) = 0 Either a or b is a solution to this quadratic equation. Hence most often you have two solutions but never more than two and always at least one solution.


If the discriminant of an equation is zero then?

The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.


What is a no solution factoring or equations?

If you have a quadratic equation and there is no x to put into the equation to get zero. The graph is like a U that is above the x axis or a cap that is below the x axis.


Why are there usually two solutions in quadratic equations and when do they only have one solution?

If the discriminant of the quadratic equation is greater than zero then it will have two different solutions. If the discriminant is equal to zero then it will have two equal solutions. If the discriminant is less than zero then it will have no real solutions.

Related questions

What is the solution of rational equations reducible to quadratic?

They are the solutions for the reduced quadratic.


Which of the following systems of equations has no solution?

If they are quadratic equations then if their discriminant is less than zero then they have no solutions


Why are there usually two solutions to a quadratic equation?

In the graph of a quadratic equation, the plotted points form a parabola. This parabola usually intersects the X axis at two different points. Those two points are also the two solutions for the quadratic equation. Alternatively: Quadratic equations are formed by multiplying two linear equations together. Each of the linear equations has one solution - multiplying two together means that the solution for either is also a solution for the quadratic equation - hence you get two possible solutions for the quadratic unless both linear equations have exactly the same solution. Example: Two linear equations : x - a = 0 x - b = 0 Multiplied together: (x - a) ( x - b ) = 0 Either a or b is a solution to this quadratic equation. Hence most often you have two solutions but never more than two and always at least one solution.


What is a great website to use for quadratic equations?

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.


What is the solution of rational equations reducible to quadratic equation?

A quadratic equation ax2 + bx + c = 0 has the solutions x = [-b +/- sqrt(b2 - 4*a*c)]/(2*a)


If the discriminant of an equation is zero then?

The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.


What type of solution do you get for quadratic equations where d 0?

ax3 + bx2 + cx x(ax2 + bx + c) you get one answer as 0.


Most quadric equations have?

A quadratic equation can have two real solutions, one real solution, or two complex solutions, none of them real.


Why do you need x intercepts for quadratic equations?

so you can find the solution for the x-values. the x-intercepts are when the graph crosses the x-axis


Is it possible to have different quadratic equations with the same solution Why?

Yes it is possible. The solutions for a quadratic equation are the points where the function's graph touch the x-axis. There could be 2 places to that even if the graph looks different.


What are the functions of roots84?

The functions of roots of 84 is that they help us get the solution of certain quadratic equations and therefore help us to plot the graphs correctly.


How do you solve imaginary equations?

The answer depends on the nature of the equation. Just as there are different ways of solving a linear equation with a real solution and a quadratic equation with real solutions, and other kinds of equations, there are different methods for solving different kinds of imaginary equations.