Lutasin ang x=left(3+2m-m^2+3right)m1/2+1/2left(3-mright)*left(-m^2+2m+3right)

$$x= \left( 3+2m- { m }^{ 2 } +3 \right) m \frac{ 1 }{ 2 } + \frac{ 1 }{ 2 } \left( 3-m \right) \times \left( - { m }^{ 2 } +2m+3 \right)$$

I-solve ang x

$$x=\frac{9+9m-3m^{2}}{2}$$

Mga Hakbang ng Solution

Idagdag ang 3 at 3 para makuha ang 6.

$$x=\left(6+2m-m^{2}\right)m\times \frac{1}{2}+\frac{1}{2}\left(3-m\right)\left(-m^{2}+2m+3\right)$$

Gamitin ang distributive property para i-multiply ang 6+2m-m^{2} gamit ang m.

$$x=\left(6m+2m^{2}-m^{3}\right)\times \frac{1}{2}+\frac{1}{2}\left(3-m\right)\left(-m^{2}+2m+3\right)$$

Gamitin ang distributive property para i-multiply ang 6m+2m^{2}-m^{3} gamit ang \frac{1}{2}.

$$x=3m+m^{2}-\frac{1}{2}m^{3}+\frac{1}{2}\left(3-m\right)\left(-m^{2}+2m+3\right)$$

Gamitin ang distributive property para i-multiply ang \frac{1}{2} gamit ang 3-m.

$$x=3m+m^{2}-\frac{1}{2}m^{3}+\left(\frac{3}{2}-\frac{1}{2}m\right)\left(-m^{2}+2m+3\right)$$

Gamitin ang distributive property para i-multiply ang \frac{3}{2}-\frac{1}{2}m sa -m^{2}+2m+3 at para pagsamahin ang magkakatulad na term.

$$x=3m+m^{2}-\frac{1}{2}m^{3}+\frac{3}{2}\left(-m^{2}\right)+\frac{3}{2}m+\frac{9}{2}-\frac{1}{2}m\left(-m^{2}\right)-m^{2}$$

I-multiply ang -\frac{1}{2} at -1 para makuha ang \frac{1}{2}.

$$x=3m+m^{2}-\frac{1}{2}m^{3}+\frac{3}{2}\left(-m^{2}\right)+\frac{3}{2}m+\frac{9}{2}+\frac{1}{2}mm^{2}-m^{2}$$

Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang 1 at 2 para makuha ang 3.

$$x=3m+m^{2}-\frac{1}{2}m^{3}+\frac{3}{2}\left(-m^{2}\right)+\frac{3}{2}m+\frac{9}{2}+\frac{1}{2}m^{3}-m^{2}$$

Pagsamahin ang 3m at \frac{3}{2}m para makuha ang \frac{9}{2}m.

$$x=\frac{9}{2}m+m^{2}-\frac{1}{2}m^{3}+\frac{3}{2}\left(-m^{2}\right)+\frac{9}{2}+\frac{1}{2}m^{3}-m^{2}$$

Pagsamahin ang -\frac{1}{2}m^{3} at \frac{1}{2}m^{3} para makuha ang 0.

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

Pagsamahin ang m^{2} at -m^{2} para makuha ang 0.

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

I-multiply ang \frac{3}{2} at -1 para makuha ang -\frac{3}{2}.

$$x=\frac{9}{2}m-\frac{3}{2}m^{2}+\frac{9}{2}$$

I-solve ang m (complex solution)

$$m=\frac{\sqrt{189-24x}}{6}+\frac{3}{2}$$

$$m=-\frac{\sqrt{189-24x}}{6}+\frac{3}{2}$$

I-solve ang m

$$m=\frac{\sqrt{189-24x}}{6}+\frac{3}{2}$$

$$m=-\frac{\sqrt{189-24x}}{6}+\frac{3}{2}\text{, }x\leq \frac{63}{8}$$