Solving Equations With Absolute Values

If the number is negative then the absolute value is its opposite. Solving absolute value equations.

Equations With Absolute Value

The challenge is that the absolute value of a number depends on the number s sign.

Solving equations with absolute values. The general steps to solve an absolute value equation are. Positive and negative components below is the general approach on how to break them down into two equations. Khan academy is a 501 c 3 nonprofit organization.

After solving substitute your answers back into original equation to verify that you solutions are valid. The absolute value is isolated on the left hand side of the equation so it s already set up for me to split the equation into two cases. Rewrite the absolute value equation as two separate equations one positive and the other negative.

To clear the absolute value bars i must split the equation into its two possible two cases one each for if the contents of the absolute value bars that is if the argument of the absolute value is negative and if it s non negative that is if it s. Write out the final solution or graph it as needed. Solving absolute value equations is as easy as working with regular linear equations.

So when we re dealing with a variable we need to consider both cases. The only additional key step that you need to remember is to separate the original absolute value equation into two parts. If it s positive it s equal to the number.

Absolute value equations are equations where the variable is within an absolute value operator like x 5 9. Solve each equation separately. Absolute value equations with no solution our mission is to provide a free world class education to anyone anywhere.

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