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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.
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What is the result if the equation has a solution that is all real numbers?
The result is all 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
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.
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 will be the solution of root of -1?
There is no real number whose square root can be negative so there is no real solution. So mathematicians invented the imaginary number i with the property that i*i = -1 i is fundamental to complex numbers.
