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Chapter 10: Q. 98 (page 1018)

In the following exercises, solve each equation:

3x2=81

Short Answer

Expert verified

The solutions of the given equation arex=2andx=-2.

Step by step solution

01

Step 1. Given Information 

The given equation is3x2=81.

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,3x2=34.

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

x2=4x=卤4x=卤2

03

Step 3. Verify the solution 

To verify the solution,

Substitute x=2in the original equation

role="math" localid="1644924523318" 3(2)2=8134=8181=81

It is true.

Now, substitute x=-2in the original equation

3(-2)2=8134=8181=81

It is also true.

Hence, the solutions arex=2,-2.

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