Discard Equation Resolution For Free

In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

An extraneous solution for an equation is a value we find when solving the equation that does not satisfy the equation. For example, if we square both sides of the equation ?x = -1, we get a result of x = 1, which does not satisfy the original equation, which means x = 1 is an extraneous solution.

To get rid of a radical you take it to a power that will change the rational exponent to a natural number. This will work if the radical is on one side of the equation by itself.

1. Isolate the exponential expression on one side of the equation. 2. Take the logarithm of each side, then use the Laws of Logarithms to ?bring down the exponent.?

What is an Extraneous Solution? - YouTube YouTube Start of suggested clip End of suggested clip Back into the original absolute value equation to check and see if it gives a true statement. SoMoreBack into the original absolute value equation to check and see if it gives a true statement. So let's look at that our example is 2x plus 12 the absolute value of 2x plus 12 equals 4x.

Plug in your solution back into the original equation. If it shows a false meaning (e.g 2=3) or if the value is undefined (n/0), then it's extraneous.

Checking For Extraneous Solutions of Radical Equations - YouTube YouTube Start of suggested clip End of suggested clip And see if it works for the original equation if not that solution is extraneous. Now let's tryMoreAnd see if it works for the original equation if not that solution is extraneous. Now let's try another example for the sake of practice. So let's say we have the square root of 2x.

Extraneous Roots - YouTube YouTube Start of suggested clip End of suggested clip 1. So here I would put in a 1 every time I see an X. So the square root of 1 equals 1 minus 2 and weMore1. So here I would put in a 1 every time I see an X. So the square root of 1 equals 1 minus 2 and we are checking to see if that is true well the principal square root of 1 is just plain old one.

The solution set of a linear equation in two variables is the set of all of the solutions to the equation. That is, the set of all ordered pairs that satisfy the equation. There are a number of ways to represent a solution set.

We will be using the following 3-step process that can be used to solve any absolute value equation: STEP ONE: Isolate the Absolute Value.STEP TWO: Solve for Positive AND Solve for Negative.STEP THREE: Check Your Answer.