Resolver f(11/2)=(11/2)-1/2(1frac{1{2})^2-(11/2)^2}=

$$f ( 1 \frac { 1 } { 2 } ) = \frac { ( 1 \frac { 1 } { 2 } ) - 1 } { 2 ( 1 \frac { 1 } { 2 } ) ^ { 2 } - ( 1 \frac { 1 } { 2 } ) ^ { 2 } } =$$

Avaliar

$$\frac{2}{9}\approx 0,222222222$$

Passos Para a Resolução

Multiplique 1 e 2 para obter 2.

$$\frac{\frac{2+1}{2}-1}{2\times \left(\frac{1\times 2+1}{2}\right)^{2}-\left(\frac{1\times 2+1}{2}\right)^{2}}$$

Some 2 e 1 para obter 3.

$$\frac{\frac{3}{2}-1}{2\times \left(\frac{1\times 2+1}{2}\right)^{2}-\left(\frac{1\times 2+1}{2}\right)^{2}}$$

Subtraia 1 de \frac{3}{2} para obter \frac{1}{2}.

$$\frac{\frac{1}{2}}{2\times \left(\frac{1\times 2+1}{2}\right)^{2}-\left(\frac{1\times 2+1}{2}\right)^{2}}$$

Multiplique 1 e 2 para obter 2.

$$\frac{\frac{1}{2}}{2\times \left(\frac{2+1}{2}\right)^{2}-\left(\frac{1\times 2+1}{2}\right)^{2}}$$

Some 2 e 1 para obter 3.

$$\frac{\frac{1}{2}}{2\times \left(\frac{3}{2}\right)^{2}-\left(\frac{1\times 2+1}{2}\right)^{2}}$$

Calcule \frac{3}{2} elevado a 2 e obtenha \frac{9}{4}.

$$\frac{\frac{1}{2}}{2\times \frac{9}{4}-\left(\frac{1\times 2+1}{2}\right)^{2}}$$

Multiplique 2 e \frac{9}{4} para obter \frac{9}{2}.

$$\frac{\frac{1}{2}}{\frac{9}{2}-\left(\frac{1\times 2+1}{2}\right)^{2}}$$

Multiplique 1 e 2 para obter 2.

$$\frac{\frac{1}{2}}{\frac{9}{2}-\left(\frac{2+1}{2}\right)^{2}}$$

Some 2 e 1 para obter 3.

$$\frac{\frac{1}{2}}{\frac{9}{2}-\left(\frac{3}{2}\right)^{2}}$$

Calcule \frac{3}{2} elevado a 2 e obtenha \frac{9}{4}.

$$\frac{\frac{1}{2}}{\frac{9}{2}-\frac{9}{4}}$$

Subtraia \frac{9}{4} de \frac{9}{2} para obter \frac{9}{4}.

$$\frac{\frac{1}{2}}{\frac{9}{4}}$$

Divida \frac{1}{2} por \frac{9}{4} ao multiplicar \frac{1}{2} pelo recíproco de \frac{9}{4}.

$$\frac{1}{2}\times \frac{4}{9}$$

Multiplique \frac{1}{2} e \frac{4}{9} para obter \frac{2}{9}.

$$\frac{2}{9}$$

Fatorizar

$$\frac{2}{3 ^ {2}} = 0,2222222222222222$$