Datrys {l}{S=-3/2m^2+9/2m+9/2}{m=3/2}

$$\left\{ \begin{array} { l } { S = - \frac { 3 } { 2 } m ^ { 2 } + \frac { 9 } { 2 } m + \frac { 9 } { 2 } } \\ { m = \frac { 3 } { 2 } } \end{array} \right.$$

Datrys ar gyfer S, m

$$S = \frac{63}{8} = 7\frac{7}{8} = 7.875$$

$$m = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Camau Ateb

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

$$S=-\frac{3}{2}\times \left(\frac{3}{2}\right)^{2}+\frac{9}{2}\times \frac{3}{2}+\frac{9}{2}$$

Cyfrifo \frac{3}{2} i bŵer 2 a chael \frac{9}{4}.

$$S=-\frac{3}{2}\times \frac{9}{4}+\frac{9}{2}\times \frac{3}{2}+\frac{9}{2}$$

Lluosi -\frac{3}{2} a \frac{9}{4} i gael -\frac{27}{8}.

$$S=-\frac{27}{8}+\frac{9}{2}\times \frac{3}{2}+\frac{9}{2}$$

Lluosi \frac{9}{2} a \frac{3}{2} i gael \frac{27}{4}.

$$S=-\frac{27}{8}+\frac{27}{4}+\frac{9}{2}$$

Adio -\frac{27}{8} a \frac{27}{4} i gael \frac{27}{8}.

$$S=\frac{27}{8}+\frac{9}{2}$$

Adio \frac{27}{8} a \frac{9}{2} i gael \frac{63}{8}.

$$S=\frac{63}{8}$$

Mae’r system wedi’i datrys nawr.

$$S=\frac{63}{8} m=\frac{3}{2}$$