A quadratic equation ax2 + bx + c = 0 has the solutions x = [-b +/- sqrt(b2 - 4*a*c)]/(2*a)
Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.
ax3 + bx2 + cx x(ax2 + bx + c) you get one answer as 0.
A quadratic equation can have two real solutions, one real solution, or two complex solutions, none of them real.
so you can find the solution for the x-values. the x-intercepts are when the graph crosses the x-axis
A quadratic equation ax2 + bx + c = 0 has the solutions x = [-b +/- sqrt(b2 - 4*a*c)]/(2*a)
If they are quadratic equations then if their discriminant is less than zero then they have no solutions
Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.
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.
Equations are said to be equivalent if they have the same solution. This definition also holds true in rational equations or equations involving rational expressions. For instance, the equations 2x = 14 and x - 3 = 4 are equivalent. Why? It's because they have the same solution, that is x = 7.
Graphing
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.
Numbers are numbers, not questions or equations. They do not have solutions.
Presumably you'll arrive at the wrong solution.
The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.
yes they do except for the one on your test that is worth he most marks
ax3 + bx2 + cx x(ax2 + bx + c) you get one answer as 0.