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Solve quadratic equationy2+12y+36=32using a square root property.

Short Answer

Expert verified

The values of yare-6-42and-6+42

Step by step solution

01

Step 1. Write the given information

Consider the quadratic equation y2+12y+36=32

02

Step 2. Factor the perfect square trinomial

y+62=32

03

Step 3. Use square root property

y+6=±32

⇒y=-6±42

⇒y=-6-42andy=-6+42

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