y 2 + 5y Choose the constant term that completes the perfect square trinomial.

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y 2 + 5y Choose the constant term that completes the perfect square trinomial.

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    2021-09-10T06:26:51+00:00

    Given: y²+5y
    Converting y²+5y in the form: x²+2ax+a²
    Here 2a=5 or a=5/2
    Add and subtract (5/2)²
    y²+5y+(5/2)²-(5/2)²   
    Complete the square.
    (y+5/2)²-(5/2)²
    Simplify
    (y+5/2)² – 25/4

    Answer: (y+5/2)² – 25/4

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