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Chapter 3: Q9. (page 120)

Solve the equation. Check your solution.

12=f2-8

Short Answer

Expert verified

The solution for the equation 12=f2-8 is f=40.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variables.

12=f2鈭�812+8=f220=f2

02

– Solve for f

Multiply both sides of the equation 20=f2 by 2 and simplify.

20脳2=f2脳2f=40

Therefore, the solution of the equation is f=40.

03

– Check the solution 

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

localid="1649207493077" 12=f2-8

Now, substitute f=40and check the result.

12=402-812=20-812=12

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

12=402鈭�812=20鈭�812=12

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