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Chapter 8: Q17. (page 492)

Solve each equation. Check your solution.

6p2鈭�3p=0

Short Answer

Expert verified

The solution of6p2鈭�3p=0 is p=0,12.

Step by step solution

01

Step 1. Factor by using GCF.

Factor by using GCF to get the form xy=0.

3p2p鈭�1=0

02

Step 2. Write zero product property.

For any real numbers x and y, ifxy=0 thenx=0,y=0 or both x and y equal to zero.

03

Step 3. Apply zero product property.

Apply zero product property to the given equation, 3p2p鈭�1=0.

3p=0or2p鈭�1=0p=0p=12

Therefore, the roots are 0 and 12.

04

Step 4. Check the obtained solution.

To check whether the obtained solution is correct or not, substitute 0 for p and12 for p in the given equation and simplify.

602=?00=0鉁�

6122鈭�312=?00=0鉁�

Therefore, the obtained solution is correct.

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