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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

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Exercise 53 Page 34

Take the square root of both sides of the equation.

Always

Practice makes perfect

Before we begin, recall that a square root of a number raised to the second power is equal to the absolute value of that number. sqrt(a^2)=|a| Let's use that information when taking the square root of both sides of the equation

x^2=a^2

sqrt(LHS)=sqrt(RHS)

sqrt(x^2)=sqrt(a^2)

sqrt(a^2)=|a|

|x|=|a|

We can write our answer.

If x^2=a^2, then \|x\| is always equal to \|a\|.

Subchapter links

Communicate Your Answer p.27

Monitoring Progress p.28-31

Exercises p.32-34