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How can you tell if an equation has at most one solution without solving it?
Wiki User
∙ 11y ago
You can be certain if the equation is linear, that is, of the form
ax + b = 0 where a and b are constants.
Wiki User
∙ 11y ago
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What does extraneous mean What must you do to determine whether a solution is an extraneous solution?
Extraneous means extra and unnecessary. Extraneous solutions are values that can arise from the process of solving the equation but do not in fact satisfy the initial equation. These solutions occur most often when not all parts of the process of solving are not completely reversible - for example, if both sides of the equation are squared at some point.
Is the solution to an equation any number that makes the equation true?
not always but most of the time yes
How do you solve for x equals y plus 3?
The first, and often most important, step in solving any problem is to understand what the question is. You're not there yet. "x = y + 3" is an equation that describes a straight line on a graph. Every point on the line is a solution of the equation, and there are a huge number of points on a line. In fact, there are an infinite number of them. Every solution is a pair of numbers ... one for 'x' and one for 'y' ... and if you put them in place of 'x' and 'y' in the equation, you get a true statement. You can find solutions very easily. Just pick any number for 'y', stick it in the equation in place of 'y', and look and see what 'x' must be.
What is the difference between simplify and solve when talking about an equation or expression?
"Simplify" means to make something simpler. For example, most people would agree that 3x is simpler than x + x + x. "Simplify" is something you do with an expression. However, simplifying things can also help in solving equations.To "solve" means to find the value or values of the variable or variables, that make an equation true. For example, if you have the equation 2x + 1 = 7, solving it means figuring out what value "x" must have, in this case 3, to make the equation true.
How does problem-solving affect your effectiveness as a manager?
A manager who has the ability to problem solve is an asset to the organization. Even if the solution must be reviewed, it is most expedient upon presentation of a problem, to also propose a solution which can be immediately rejected or accepted.
What does extraneous mean What must you do to determine whether a solution is an extraneous solution?
Extraneous means extra and unnecessary. Extraneous solutions are values that can arise from the process of solving the equation but do not in fact satisfy the initial equation. These solutions occur most often when not all parts of the process of solving are not completely reversible - for example, if both sides of the equation are squared at some point.
Is the solution to an equation any number that makes the equation true?
not always but most of the time yes
Given 7k plus 13p equals 31 solve for p?
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution. The most that you can do is: 13p = 31-7k so that p = (31-7k)/13
What are 3 methods to solving a system of linear equations?
u can use gauss jorden or gauss elimination method for solving linear equation u also use simple subtraction method for small linear equation also.. after that also there are many methods are available but above are most used
What is the advantages or disadvantages of solving system of linear equation by graphing?
The advantage of solving a system of linear equations by graphing is that it is relatively easy to do and requires very little algebra. The main disadvantage is that your answer will be approximate due to having to read the answer from a graph. Where the solution are integer values, this might be alright, but if you are looking for an accurate decimal answer, this might not be able to be achieved. Another disadvantage to solving linear equations by graphing is that at most you can have two unknown variables (assuming that you are drawing the graph by hand).
What is the most advanced math equation?
There is no "most advanced" math equation, just as you can never count to "infinity".The equation eipi + 1 = 0is certainly an amazing relationship.(e is 2.7828 ... , i is the solution to i2 = -1, and pi is 3.14159 ...)
How do you know when equation has no solution?
By definition, an equation has a solution. The word comes from "equal". Some mathematical problems do not have solutions. For example, 1/0 = X is a problem with no solution. You know, in this example that there is no solution because of the "divide by zero" rule. Most insoluble problems are insoluble because of some rule that keeps you from moving ahead.
How do you solve for x equals y plus 3?
The first, and often most important, step in solving any problem is to understand what the question is. You're not there yet. "x = y + 3" is an equation that describes a straight line on a graph. Every point on the line is a solution of the equation, and there are a huge number of points on a line. In fact, there are an infinite number of them. Every solution is a pair of numbers ... one for 'x' and one for 'y' ... and if you put them in place of 'x' and 'y' in the equation, you get a true statement. You can find solutions very easily. Just pick any number for 'y', stick it in the equation in place of 'y', and look and see what 'x' must be.
How do you find the solution of a quadratic equation graphically?
You write the equation in such a way that you have zero on the right side. Then you graph the expression on the left side of the equal sign, and check where it touches the x-axis. Note that this method works for most common equations.
What is -3b equals 96 plus b and please show your work?
It's a simple linear equation in 'b'. The question doesn't ask us to do any work.The "solution" of the equation is the number that 'b' must be, in order to makethe equation a true statement.The solution to this particular equation is [ b = -24].The individual who posted the question is most likely enrolled in a class where thebasic operations of algebra have been covered, and this equation has been assignedas a homework exercise, for practice in using them.That individual needs to meet with the teacher and brush up on those operations.It would be doing him serious harm to hand him a detailed solution, which he couldthen submit and represent as his own work without understanding the process.
Who Invented the Order of Operations?
There is no definite answer on any one person who invented the order of operations in algebra. There isn't even strong evidence to state that this or that group or country invented it. It has evolve over time and study by many mathematicians. Some of the rules are natural rules, meaning the equation is solved in the most logical and simple form. Some are artificial rules, which means they are not necessarily simpler, but they are the most effective in solving the equation without error.
How does problem-solving affect your effectiveness as a manager?
A manager who has the ability to problem solve is an asset to the organization. Even if the solution must be reviewed, it is most expedient upon presentation of a problem, to also propose a solution which can be immediately rejected or accepted.
