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A line is represented by an equation. Each solution of the equation is a point on the line, and each point on the line is a solution to the equation. So the line is just the graph of the solution set of the equation.
It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
Let's say you have the quadratic equation x2 - 7x + 12 = 0. Plot the graph of y = x2 - 7x + 12. Where y = 0 (when the graph crosses the x-axis) is a solution to the equation. In this case, it crosses at the points (3,0) & (4,0) so the solutions are x = 3 and x = 4. Now if the graph never touches the x-axis, that means the solutions to the equation are complex numbers.
It is not possible to tell. The lines could intersect, in pairs, at several different points giving no solution. A much less likely outcome is that they all intersect at a single point: the unique solution to the system.
The browser that is used for submitting questions does not permit many mathematical symbols. It is therefore not possible to be sure what the question was. Here, it is not possible to tell whether the last term is positive or negative. For a quadratic equation of the form ax^2 + bx + c = 0, where a, b and c are real numbers and a is non-zero, the discriminant is b^2 – 4ac.
It is called an equation with no solutions in the domain under consideration. It is quite possible that an equation which does not have a solution in one domain has a simple solution in another - possibly broader - domain.For example,a junior school pupil may tell you that x + 3 = 2 has no solution. In the domain of positive integers it does not but perhaps a year later, they will tell you that the answer is x = -1.a little later they may tell you that 3*x = 2 has no solution in the domain of integers. True, but in the domain of rational numbers, the answer is x = 2/3.Next, x2 = 2 has no solution in rational numbers but x = sqrt(2), is a perfectly valid solution in the domain of real numbers (which includes irrational numbers).Still further, x2 = -9 has no solution in real numbers since we all know that 32 = +9 and (-3)2 = +9. However, in the domain of imaginary numbers, x = 3i.and so on.Also, there are equations which cannot be solved analytically, but do have solutions which can be found by numerical methods.
by when you cancelled the variables and the two numbers left are equal. ex.5=5, is a many solution equation, in the other hand if is like this 6=5, is a no solution.
b^2 - 4ac, the discriminant will tell you that a quadratic equation may have one real solution( discriminant = 0 ) , two real solutions( discriminant > 0 ), or no real solutions( discriminant < 0 ).
A line is represented by an equation. Each solution of the equation is a point on the line, and each point on the line is a solution to the equation. So the line is just the graph of the solution set of the equation.
Substitute the coordinates of the point into the equation and if the result is a true statement then the point is a solution, and if not it isn't.
If the two equations are linear transformations of one another they have the same solution.
Depends on the type of math problem. there's usually an equation to see if there is a solution or not.
0 to 9 are the real numbers.
You can't state "the" solution.You can choose any number you want for 'x', and the equation gives you the correspondingvalue of 'y'. That pair of numbers is a 'solution' to the equation, and there are an infinitenumber of such pairs.If you were to graph the equation, the graph would be a straight line with no endin either direction. Every point on that line is a "solution" to the equation, and wedon't have to tell you how many points there are on a straight line with no ends . . .
Difficult to tell because of problems with the browser. 4x = 2x IS a linear equation whose solution is x = 0
You can be certain if the equation is linear, that is, of the form ax + b = 0 where a and b are constants.
There are three variables in the equation. In order to find numbers for all of them,you need three separate independent equations.As it is now, the graph of that equation is a line in 3-dimensional space, andevery point on the line is a 'solution' to the equation. We don't have to tell youhow many points there are on a line, do we ?