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 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# 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 x2 = 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