SOLUTION: Solve http://prntscr.com/bhzilv Justify each step in your solution

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Question 1038537: Solve http://prntscr.com/bhzilv Justify each step in your solution
Found 4 solutions by Othel, josgarithmetic, jim_thompson5910, MathTherapy:
Answer by Othel(27)   (Show Source): You can put this solution on YOUR website!
The equation is...

We can begin by dividing both sides by 8...

and now we square both sides...

Add 43 to both sides...

Divide by 4...

And take the square root...

Pay no attention to the zero in the equation, I couldn't represent the positive and negative of the solution without it. It is meaningless to the solution.
Check your answer! Plug it into the original equation!
I hope this helps! Learn on
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Given Equation:


I will give REASONS for the steps, and you can supply the actual steps.

Multiplicative Inverse and Multiplication Property of Equality;
Meaning of and Property of Square Roots;
Addition Property of Equality;
Multiplication Property of Equality;
Meaning of Squares or Square Roots----depending on what the value is on the side with the value.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Problem:
Solve

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Steps

Step 1)

Step 2)

Step 3)

Step 4)

Step 5)

Step 6)

Step 7)

Step 8)

Step 9)

Step 10)

Step 11)

Step 12) or

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Justification for each step

Step 1) Original Equation

Step 2) Divide both sides by 8

Step 3) Simplify

Step 4) Square both sides

Step 5) Square the square root to cancel it out; 5^2 = 25

Step 6) Add 43 to each side

Step 7) Simplify

Step 8) Divide both sides by 4 to isolate the z^2 term

Step 9) Simplify

Step 10) Apply the square root to both sides to undo the squaring

Step 11) will turn into

Step 12) Break up the absolute value
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Answer:

The two solutions are or
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Solve http://prntscr.com/bhzilv Justify each step in your solution


 -------- Dividing each side by 8

 ---- Squaring each side



 ------- Adding 43 to both sides





 

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