Respuesta :

Answer:

x^2 + 1/2 x + 1/16 = 2 + 1/16.

Step-by-step explanation:

The missing value is (1/2 / 2 )^2 =  (1/4)^2 = 1/16.

because ( x + 1/4)^2 = x^2 + 1/2 x + (1/4)^2.

Answer:

[tex](x+\frac{1}{4} ) ^{2}=(\frac{\sqrt{33} }{4}) ^{2}[/tex]

Step-by-step explanation:

[tex]x^{2} +\frac{1}{2} x+...=2+...\\\\x^{2} +2\frac{1}{4} x+(\frac{1}{4})^{2} =2+(\frac{1}{4})^{2} \\\\(x+\frac{1}{4} ) ^{2}=2+\frac{1}{16} \\\\(x+\frac{1}{4} ) ^{2}=\frac{33}{16}\\}\\(x+\frac{1}{4} ) ^{2}=(\frac{\sqrt{33} }{4}) ^{2}[/tex]

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