Solve for y y>2

Problem

y2−4*y+4=9,y>2

Solution

1. Identify the equation as a quadratic equation and move all terms to one side to set the equation to zero.

y2−4*y−5=0

2. Factor the quadratic expression by finding two numbers that multiply to −5 and add to −4

(y−5)*(y+1)=0

3. Solve for y by setting each factor equal to zero using the zero product property.

y−5=0⇒y=5

y+1=0⇒y=−1

4. Apply the given constraint y>2 to select the valid solution from the two candidates.

5>2* (True)

−1>2* (False)

Final Answer

y=5

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