Resolver 1/2*9.81*x-1/2*9.81*left(x-0.85right)^2

$$\frac{ 1 }{ 2 } \times 9.81 \times x- \frac{ 1 }{ 2 } \times 9.81 \times { \left(x-0.85 \right) }^{ 2 }$$

Calcular

$$\frac{981\left(-\left(x-0.85\right)^{2}+x\right)}{200}$$

Pasos da solución

Multiplica \frac{1}{2} e 9.81 para obter \frac{981}{200}.

$$\frac{981}{200}x-\frac{1}{2}\times 9.81\left(x-0.85\right)^{2}$$

Multiplica \frac{1}{2} e 9.81 para obter \frac{981}{200}.

$$\frac{981}{200}x-\frac{981}{200}\left(x-0.85\right)^{2}$$

Usar teorema binomial \left(a-b\right)^{2}=a^{2}-2ab+b^{2} para expandir \left(x-0.85\right)^{2}.

$$\frac{981}{200}x-\frac{981}{200}\left(x^{2}-1.7x+0.7225\right)$$

Usa a propiedade distributiva para multiplicar -\frac{981}{200} por x^{2}-1.7x+0.7225.

$$\frac{981}{200}x-\frac{981}{200}x^{2}+\frac{16677}{2000}x-\frac{283509}{80000}$$

Combina \frac{981}{200}x e \frac{16677}{2000}x para obter \frac{26487}{2000}x.

$$\frac{26487}{2000}x-\frac{981}{200}x^{2}-\frac{283509}{80000}$$

Expandir

$$-\frac{981x^{2}}{200}+\frac{26487x}{2000}-3.5438625$$

Pasos da solución

Multiplica \frac{1}{2} e 9.81 para obter \frac{981}{200}.

$$\frac{981}{200}x-\frac{1}{2}\times 9.81\left(x-0.85\right)^{2}$$

Multiplica \frac{1}{2} e 9.81 para obter \frac{981}{200}.

$$\frac{981}{200}x-\frac{981}{200}\left(x-0.85\right)^{2}$$

Usar teorema binomial \left(a-b\right)^{2}=a^{2}-2ab+b^{2} para expandir \left(x-0.85\right)^{2}.

$$\frac{981}{200}x-\frac{981}{200}\left(x^{2}-1.7x+0.7225\right)$$

Usa a propiedade distributiva para multiplicar -\frac{981}{200} por x^{2}-1.7x+0.7225.

$$\frac{981}{200}x-\frac{981}{200}x^{2}+\frac{16677}{2000}x-\frac{283509}{80000}$$

Combina \frac{981}{200}x e \frac{16677}{2000}x para obter \frac{26487}{2000}x.

$$\frac{26487}{2000}x-\frac{981}{200}x^{2}-\frac{283509}{80000}$$