Issolvi -9/2=a*(-5/8+7/2)^2+10/3

$$- \frac { 9 } { 2 } = a \cdot ( - \frac { 5 } { 8 } + \frac { 7 } { 2 } ) ^ { 2 } + \frac { 10 } { 3 }$$

Solvi għal a

$$a=-\frac{1504}{1587}\approx -0.947700063$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Żid -\frac{5}{8} u \frac{7}{2} biex tikseb \frac{23}{8}.

$$-\frac{9}{2}=a\times \left(\frac{23}{8}\right)^{2}+\frac{10}{3}$$

Ikkalkula \frac{23}{8} bil-power ta' 2 u tikseb \frac{529}{64}.

$$-\frac{9}{2}=a\times \frac{529}{64}+\frac{10}{3}$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$a\times \frac{529}{64}+\frac{10}{3}=-\frac{9}{2}$$

Naqqas \frac{10}{3} miż-żewġ naħat.

$$a\times \frac{529}{64}=-\frac{9}{2}-\frac{10}{3}$$

Naqqas \frac{10}{3} minn -\frac{9}{2} biex tikseb -\frac{47}{6}.

$$a\times \frac{529}{64}=-\frac{47}{6}$$

Immultiplika ż-żewġ naħat b'\frac{64}{529}, ir-reċiproku ta' \frac{529}{64}.

$$a=-\frac{47}{6}\times \frac{64}{529}$$

Immultiplika -\frac{47}{6} u \frac{64}{529} biex tikseb -\frac{1504}{1587}.

$$a=-\frac{1504}{1587}$$