   Chapter 0.2, Problem 112E

Chapter
Section
Textbook Problem

Solve each equation in Exercises 107–120 for x, rounding your answer to four significant digits where necessary. x 2 − ( 2 − 3 x ) 2 = 0

To determine

To calculate: The value of x in the equation x2(23x)2=0.

Explanation

Given Information:

The provided equation is x2(23x)2=0.

Formula used:

For a positive real number, a

a=a12

Calculation:

Consider the provided equation x2(23x)2=0.

Add (23x)2 to both the sides,

x2(23x)2+(23x)2=0+(23x)2

The equation becomes,

x2=(23x)2

Now take the square root on both the sides,

(x2)=(23x)2x=±(23x)

Now in the equation x=±(23x), there are 2 cases

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