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

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

Solvi għal S, m

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

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

Passi tas-Soluzzjonijiet

Ikkunsidra l-ewwel ekwazzjoni. Inserixxi l-valuri magħrufa tal-varjabbli fl-ekwazzjoni.

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

Ikkalkula \frac{3}{2} bil-power ta' 2 u tikseb \frac{9}{4}.

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

Immultiplika -\frac{3}{2} u \frac{9}{4} biex tikseb -\frac{27}{8}.

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

Immultiplika \frac{9}{2} u \frac{3}{2} biex tikseb \frac{27}{4}.

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

Żid -\frac{27}{8} u \frac{27}{4} biex tikseb \frac{27}{8}.

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

Żid \frac{27}{8} u \frac{9}{2} biex tikseb \frac{63}{8}.

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

Is-sistema issa solvuta.

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