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Chapter 3: Q. 18 (page 122)

Solve the equation. Check your solution.

-x2+4=12

Short Answer

Expert verified

The solution for the equation -x2+4=12 is x=-16

Step by step solution

01

.  Separate the variable and constants

Write the original equation and separate the variables.

鈭�x2+4=12鈭�x2=12鈭�4鈭�x2=8

02

.  Solve for x

Now, multiply both sides of the equation by 2.

鈭�x2脳2=8脳2鈭�x=16x=鈭�16

Therefore, the solution of the equation isx=-16

03

.  Check the solution 

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

-x2+4=12

Now, substitute

x=-16

and check the result.

鈭�鈭�162+4=12162+4=128+4=1212=12

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

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