   Chapter 0.6, Problem 2E

Chapter
Section
Textbook Problem

Solve the equations in Exercises 1–26. x 6 − 9 x 4 = 0

To determine

To calculate: The solution of the equation x69x4=0.

Explanation

Given information:

The equation, x69x4=0.

Formula used:

Zero product property:

If a product of two number is zero, one of the two must be zero.

Calculation:

Consider the expression,

x69x4=0

The left side expression is x69x4.

As both the term contains the term x4. Thus, the common factor is x4.

Now, factor out the common factor and simplify as below,

x69x4=x4(x29)

Therefore, the factors of the expression x69x4 are x4(x29)

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