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How can you tell when an equation has a solution of all real numbers?
Wiki User
∙ 14y ago
Definition: An equation is a statement that asserts that two mathematical expression are equal in value.
When this is true for all values of the variables involved then it is called an identity, for example
2(x - 5) = 2x - 10.
If you work at one side (or in both sides separately), you will find the same expression in both side., such that:
2x - 10 = 2x - 10 this is an identity, so that the solution of the equation is the set of all real numbers.
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∙ 14y ago
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What does solving the equation for a line tell us?
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.
What can the discriminant tell you about a quadratic 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.
How can you tell by looking at a graph whee the solutions are in a quadratic equation?
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.
When the equation in a linear system have different slopes then the system has what kind of solution?
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.
What is the value of the discriminant for the quadratic equation 2x2-x 80?
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.
What is an equation that has no solution is called and 8203?
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.
How do you tell if two linear equation have more then one solution?
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.
How can you have one solution in something that is quadratic?
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 ).
What does solving the equation for a line tell us?
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.
How can you tell that an equation has the same solution as the original equation?
If the two equations are linear transformations of one another they have the same solution.
How can you tell if a point is a solution to 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.
How can one tell when a math problem has no solution?
Depends on the type of math problem. there's usually an equation to see if there is a solution or not.
What is the real real number please tell you?
0 to 9 are the real numbers.
How do you solve y equals 2x plus 5 using addition?
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 . . .
Is 4x2x a linear equation?
Difficult to tell because of problems with the browser. 4x = 2x IS a linear equation whose solution is x = 0
How can you tell if an equation has at most one solution without solving it?
You can be certain if the equation is linear, that is, of the form ax + b = 0 where a and b are constants.
How do you solve 9x plus 18y-12z equals 36?
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 ?
