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

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

S, m खातीर सोडोवचें

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

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

सोडोवणी पांवडे

पयलें समिकरण विचारांत घेवचें. समिकरणात अचल संख्येची ज्ञात मानां रिगोवचीं.

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

\frac{9}{4} मेळोवंक 2 चो \frac{3}{2} पॉवर मेजचो.

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

-\frac{27}{8} मेळोवंक -\frac{3}{2} आनी \frac{9}{4} गुणचें.

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

\frac{27}{4} मेळोवंक \frac{9}{2} आनी \frac{3}{2} गुणचें.

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

\frac{27}{8} मेळोवंक -\frac{27}{8} आनी \frac{27}{4} ची बेरीज करची.

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

\frac{63}{8} मेळोवंक \frac{27}{8} आनी \frac{9}{2} ची बेरीज करची.

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

प्रणाली आतां सुटावी जाली.

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