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Find the Perfect Square Trinomial of. y^2 + 1/2y = -1\16

Sagot :

[tex]\begin{gathered} (y\text{ + }\frac{1}{4})(y\text{ + }\frac{1}{4}) \\ \\ y\text{ = -}\frac{1}{4}\text{ twice} \end{gathered}[/tex]

To find the perfect square trinomial, we proceed as follows;

[tex]\begin{gathered} y^2\text{ + }\frac{1}{2}y\text{ = -}\frac{1}{16} \\ \\ y^2\text{ + }\frac{1}{2}y\text{ + }\frac{1}{16}\text{ = 0} \\ \\ y^2\text{ + }\frac{1}{2}y\text{ + (}\frac{1}{4})^2\text{ = 0} \\ \\ =(\text{ y + }\frac{1}{4})^2\text{ = 0} \\ \\ (y\text{ + }\frac{1}{4})(y\text{ + }\frac{1}{4})\text{ = 0} \\ \\ y\text{ = -}\frac{1}{4}\text{ twice} \end{gathered}[/tex]

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