   Chapter 0.2, Problem 111E

Chapter
Section
Textbook Problem

Solve each equation in Exercises 107–120 for x, rounding your answer to four significant digits where necessary. x 2 − ( 1 + 2 x ) 2 = 0

To determine

To calculate: The value of x in the equation x2(1+2x)2=0.

Explanation

Given Information:

The provided equation is x2(1+2x)2=0.

Formula used:

For a positive real number, a

a=a12

Calculation:

Consider the provided equation x2(1+2x)2=0.

Add (1+2x)2 to both the sides,

x2(1+2x)2+(1+2x)2=0+(1+2x)2

The equation becomes,

x2=(1+2x)2

Now take the square root on both the sides,

(x2)=(1+2x)2x=±(1+2x)

Now in the equation x=±(1+2x), there are 2 cases

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