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Chapter 10: Q53. (page 528)

Solve the equation 362p=216p-1. Check your solution.

Short Answer

Expert verified

The solution for the equation is p=-3.

Step by step solution

01

Step 1. Write down the given equation.

The given equation is 362p=216p-1.

02

Step 2. Simplify the equation.

The given equation 362p=216p-1is solved as:

362p=216p鈭�1....Given622p=63p鈭�164p=63p鈭�34p=3p鈭�3p=鈭�3

03

Step 3. Verify the result for obtained value.

Plugging p=-3in given equation and verify the result.

362p=216p鈭�1....Given362鈭�3=216鈭�3鈭�136鈭�6=216鈭�462鈭�6=63鈭�46鈭�12=6鈭�12....True

Hence the solution is verified for p=-3.

04

Step 4. Conclusion.

The solution for the given equation is p=-3.

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