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Chapter 9: Q. 401 (page 982)

In the following exercises, solve using the Square Root Property.
23w2-20=30

Short Answer

Expert verified

The solutions of the given equation are w=53and w=-53.

Step by step solution

01

Step 1. Given information.

The given equation is:

23w2-20=30

02

Step 2. Solve the equation.

The given equation can be written as:

23w2=30+20

Multiply both sides by 3.

2w2=3(50)

Divide both sides by 2.

w2=1502w2=75

Taking square root on both sides. The above equation can be written as:

w=卤75w=卤5脳5脳3w=卤53

03

Step 3. Conclusion.

The solutions of the given equation are w=53and w=-53.

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