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Chapter 3: Q. 6 (page 120)

Solve the equation. Check your solution.

b4-8=1

Short Answer

Expert verified

The solution for the equation b4-8=1 is b=36.

Step by step solution

01

Step 1.  Separate the variables and constants

Write the original equation and separate the variables.

b4鈭�8=1b4=8+1b4=9

02

Step 2.  Solve for n

Multiply both sides of the equation b4=9 by 4 and simplify.

b4脳=9脳4b=9脳4b=36

Therefore, the solution of the equation is b=36.

03

Step 3.  Check the solution 

To check the solution, write the original equation and substitute the value of b.

b4-8=1

Now, substitute b=36and check the result.

364鈭�8=1364鈭�8=19鈭�8=11=1

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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