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Chapter 9: Q. 22 (page 869)

In the following exercises, solve each equation.

3x2鈭�8=46

Short Answer

Expert verified

The solution of the equation isx=22,-22

Step by step solution

01

Step 1. Given information

In the given question we have to solve given equation.
3x2鈭�8=46

02

Step 2. The given equation is 3x2−8=46

Isolate the quadratic term.

Add 8 on both side

3x2鈭�8+8=46+83x2=54

Divide by 3 on both side

33x2=543

x2=8

03

Step 3. Use the Square Root Property.

x=卤8

Simplify the radical.

x=卤2脳4x=卤22

04

Step 4. Rewrite to show two solutions.

x=22x=-22

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