Datrys f(x)=5x^3+4x^2+8x+1text{when}x=2

$$f ( x ) = 5 x ^ { 3 } + 4 x ^ { 2 } + 8 x + 1 \text { when } x = 2$$

Datrys ar gyfer f, x

$$x=2$$

$$f = \frac{73}{2} = 36\frac{1}{2} = 36.5$$

Camau Ateb

Ystyriwch yr hafaliad cyntaf. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$f\times 2=5\times 2^{3}+4\times 2^{2}+8\times 2+1$$

Cyfrifo 2 i bŵer 3 a chael 8.

$$f\times 2=5\times 8+4\times 2^{2}+8\times 2+1$$

Lluosi 5 a 8 i gael 40.

$$f\times 2=40+4\times 2^{2}+8\times 2+1$$

Cyfrifo 2 i bŵer 2 a chael 4.

$$f\times 2=40+4\times 4+8\times 2+1$$

Lluosi 4 a 4 i gael 16.

$$f\times 2=40+16+8\times 2+1$$

Adio 40 a 16 i gael 56.

$$f\times 2=56+8\times 2+1$$

Lluosi 8 a 2 i gael 16.

$$f\times 2=56+16+1$$

Adio 56 a 16 i gael 72.

$$f\times 2=72+1$$

Adio 72 a 1 i gael 73.

$$f\times 2=73$$

Rhannu’r ddwy ochr â 2.

$$f=\frac{73}{2}$$

Mae’r system wedi’i datrys nawr.

$$f=\frac{73}{2} x=2$$