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Chapter 10: Q. 99 (page 1019)

In the following exercises, solve each equation:

4x2=4

Short Answer

Expert verified

The solutions of the given equation arex=-1andx=1.

Step by step solution

01

Step 1. Given Information 

The given equation is4x2=4.

We have to solve it.

02

Step 2. Solve the equation  

To solve the equation, write both sides of the equation with the same base.

So,4x2=41.

Now, write a new equation by setting the exponents equal.

x2=1x=卤1x=卤1

03

Step 3. Verify the solution 

To verify the solution,

Substitute x=1in the original equation

412=441=44=4

It is true.

Now, substitute x=-1in the original equation

4-12=441=44=4

Hence, the solutions arex=1,-1.

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