The absolute value function takes the value of a number, regardless of whether it is positive or negative. Some problems that the absolute value is useful for modeling include an object bouncing on the ground. For example, | − 3 | = | 3 | = 3 {\displaystyle \left|-3\right|=\left|3\right|=3} , since we do not care about the negative See more

## Absolute Value, Square Roots, and Quadratic Equations

Your explanation for finding the vertex of an absolute value equation is exactly correct! symbol, so set it equal to 0. y. Step 1: Set x + 4 = 0 & Solve. Step 2: Substitute -4 for x

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## Quadratic equation with absolute value

Real roots of a quadratic equation with absolute value for the unknown. GMAT Math questionbank. 700+ in the GMAT within your reach! Most comprehensive GMAT Online

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## Solving Harder Absolute-Value Equations

We find that c + r c = c · ( 1 + r) = 0 . Since the stated conditions exclude c = 0 , we conclude that r = − 1 , and thus b = c − ( − 1) ⇒ c = b − 1 . Note that although the problem

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math is the study of numbers, shapes, and patterns. It is used in everyday life, from counting to measuring to more complex calculations.

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## Intro to absolute value equations and graphs

x2=−3xinitial problemx2+3x=0adding 3x to both sidesx(x+3)=0using operation 5, and factoring the left hand sidex=0orx+3=0the second step of operation 5, setting each factor equal to

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