Solving Quadratic Equations Using the Square Root
Property
Example
Solve using the Square Root Property: 5(w + 6)^{2}  100 = 0
Solution
Step 1 Write the equation in the form x^{2}
= a.
Add 100 to both sides.
Divide both sides by 5.
The equation
has the form
where x is w + 6 and a is 20. 
5(w + 6)^{2}
(w + 6)^{2} 
= 100
= 20 
Step 2 Use the Square Root Property. 


Step 3 Write each answer in simplified form. To solve for w, subtract 6 from
both sides. Simplify



Step 4 Check each answer.



We leave the check to you.
So, the two solutions of 5(w + 6)^{2}  100 = 0 are
Note:
Another way to write the solution is
