Lutasin ang S=-3/2(m-3/2)^2

$$S = - \frac { 3 } { 2 } ( m - \frac { 3 } { 2 } ) ^ { 2 }$$

I-solve ang S

$$S=-\frac{3\left(2m-3\right)^{2}}{8}$$

Mga Hakbang ng Solution

Gamitin ang binomial theorem na \left(a-b\right)^{2}=a^{2}-2ab+b^{2} para palawakin ang \left(m-\frac{3}{2}\right)^{2}.

$$S=-\frac{3}{2}\left(m^{2}-3m+\frac{9}{4}\right)$$

Gamitin ang distributive property para i-multiply ang -\frac{3}{2} gamit ang m^{2}-3m+\frac{9}{4}.

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

I-solve ang m (complex solution)

$$m=-\frac{i\sqrt{6S}}{3}+\frac{3}{2}$$

$$m=\frac{i\sqrt{6S}}{3}+\frac{3}{2}$$

I-solve ang m

$$m=-\frac{\sqrt{-6S}}{3}+\frac{3}{2}$$

$$m=\frac{\sqrt{-6S}}{3}+\frac{3}{2}\text{, }S\leq 0$$