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Create your own two-step equation with All Real Numbers as the solution Show the steps to solving the equation to prove the solution All Real Numbers?
This is a question from a Florida Virtual School class, please call your teacher for help instead. Thank you.
What does a solution with all real numbers look like?
A solution with all real numbers indicates that the equation or inequality has no restrictions on its values, meaning any real number can satisfy it. Graphically, this is often represented as a horizontal line on a number line or as a shaded region extending infinitely in both directions. For example, the equation (x = x) or the inequality (x > -\infty) includes every possible real number as a solution. Essentially, it signifies that the solution set is the entire continuum of real numbers.
What is a equation that has no solution?
Here are a few: 0 = 1 x = x + 1 (subtract "x" on each side, and you get the previous one!) x2 = -1 (if you want real numbers; however, it has two solutions in the complex numbers) ln x = -1 (same as above: no solution in the real numbers, but it has a solution in the complex numbers) ln x = 0 (no solution, neither in the real numbers, nor in the complex numbers) 0x = 5
What is an equation with no solutions?
DIVIDE BY ZERO ERROR Is an equation with no solution's answer. * * * * * It also depends on the domain of the variable(s). For example x + 3 = 2 has no solution if the domain for x is the counting numbers, Z. x*3 = 2 has no solution if the domain for x is the natural numbers, N. x2 = 2 has no solution if the domain for x is the rational numbers, Q. x2 = -2 has no solution if the domain for x is the real numbers, R.
Will you give me an example of a radical equation with no solution?
The answer to the question depends on the set of numbers within which you are working. If you are working in integers, x2 = 2.25 has no solution. However, it does have a solution in rational numbers (x = 1.5). If working with rationals, x2 = 6 has no rational solution but it does have a solution in real numbers. Yet again, x2 = -6 has no solution in the reals, but does have a solution in complex numbers.
What are the compex roots in mathematics?
The complex roots of an equation is any solution to that equation which cannot be expressed in terms of real numbers. For example, the equation 0 = x² + 5 does not have any solution in real numbers. But in complex numbers, it has solutions.
What is An equation that is true for NO values of the variable.?
It is an equation which is insoluble in its domain. However, it may be soluble in a bigger domain.For example, x2 = 2 has no solution in the domain of rational numbers but it does in the real numbers, orx2 = -2 has no solution in the domain of real number but it does in imaginary numbers.
What is A number that makes a equation true?
The solution set is the answers that make an equation true. So I would call it the solution.
Create your own two-step equation with All Real Numbers as the solution Show the steps to solving the equation to prove the solution All Real Numbers?
This is a question from a Florida Virtual School class, please call your teacher for help instead. Thank you.
When real numbers fails to provide solution?
When real numbers fail to provide a solution there is no real solution - its as simple as that! There is no integer solution for 2x = 3. To find a solution you need to extend the domain to rational numbers. There is no rational number solution to x^2 = 2, so you need to extend to the real numbers. For some equations that do not have a real solution, for example, x^2 + 1 = 0, there are solutions if the domain is extended to the complex field. x + 2 = x - 2 has no real solution nor a complex solution. However, it does have a solution in modulo 4 arithmetic. But in that case the original equation should have said so. When seeking a solution to an equation, it is customary to define the domain in which the answer (if any) may be found. - unless the context makes the domain clear.
What does a solution with all real numbers look like?
A solution with all real numbers indicates that the equation or inequality has no restrictions on its values, meaning any real number can satisfy it. Graphically, this is often represented as a horizontal line on a number line or as a shaded region extending infinitely in both directions. For example, the equation (x = x) or the inequality (x > -\infty) includes every possible real number as a solution. Essentially, it signifies that the solution set is the entire continuum of real numbers.
What is a equation that has no solution?
Here are a few: 0 = 1 x = x + 1 (subtract "x" on each side, and you get the previous one!) x2 = -1 (if you want real numbers; however, it has two solutions in the complex numbers) ln x = -1 (same as above: no solution in the real numbers, but it has a solution in the complex numbers) ln x = 0 (no solution, neither in the real numbers, nor in the complex numbers) 0x = 5
What is an equation with no solutions?
DIVIDE BY ZERO ERROR Is an equation with no solution's answer. * * * * * It also depends on the domain of the variable(s). For example x + 3 = 2 has no solution if the domain for x is the counting numbers, Z. x*3 = 2 has no solution if the domain for x is the natural numbers, N. x2 = 2 has no solution if the domain for x is the rational numbers, Q. x2 = -2 has no solution if the domain for x is the real numbers, R.
Will you give me an example of a radical equation with no solution?
The answer to the question depends on the set of numbers within which you are working. If you are working in integers, x2 = 2.25 has no solution. However, it does have a solution in rational numbers (x = 1.5). If working with rationals, x2 = 6 has no rational solution but it does have a solution in real numbers. Yet again, x2 = -6 has no solution in the reals, but does have a solution in complex numbers.
If the discriminant of an equation is positive.What is true of the equation?
The equation has two real solutions.
What is the solution to the equation y equals -2.5?
The equation y = -2.5 represents a horizontal line on the Cartesian plane passing through the point (-2.5, 0). This line is parallel to the x-axis and has a slope of 0. The solution to this equation is all real numbers on the y-axis that have a value of -2.5.
What is a decimal that does not show a repeating pattern called?
These numbers, such as pi, are known as trancendentalnumbers, because they represent a value that is not the solution of an algebraic equation or a quotient using real numbers.
