Issolvi 120000=112*812{left(x/1000right)}^2

$$120000 = 112 \cdot 812 { \left( \frac{ x }{ 1000 } \right) }^{ 2 }$$

Solvi għal x

$$x = \frac{25000 \sqrt{87}}{203} \approx 1148.692001612$$

$$x = -\frac{25000 \sqrt{87}}{203} \approx -1148.692001612$$

Passi billi Ssib l-Għerq Kwadrat

Immultiplika 112 u 812 biex tikseb 90944.

$$120000=90944\times \left(\frac{x}{1000}\right)^{2}$$

Biex tgħolli \frac{x}{1000} għal qawwa, għolli kemm in-numeratur u d-denominatur għall-qawwa u mbagħad iddividi.

$$120000=90944\times \frac{x^{2}}{1000^{2}}$$

Esprimi 90944\times \frac{x^{2}}{1000^{2}} bħala frazzjoni waħda.

$$120000=\frac{90944x^{2}}{1000^{2}}$$

Ikkalkula 1000 bil-power ta' 2 u tikseb 1000000.

$$120000=\frac{90944x^{2}}{1000000}$$

Iddividi 90944x^{2} b'1000000 biex tikseb\frac{1421}{15625}x^{2}.

$$120000=\frac{1421}{15625}x^{2}$$

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

$$\frac{1421}{15625}x^{2}=120000$$

Immultiplika ż-żewġ naħat b'\frac{15625}{1421}, ir-reċiproku ta' \frac{1421}{15625}.

$$x^{2}=120000\times \frac{15625}{1421}$$

Immultiplika 120000 u \frac{15625}{1421} biex tikseb \frac{1875000000}{1421}.

$$x^{2}=\frac{1875000000}{1421}$$

Ħu l-għerq kwadrat taż-żewġ naħat tal-ekwazzjoni.

$$x=\frac{25000\sqrt{87}}{203} x=-\frac{25000\sqrt{87}}{203}$$

Passi għall-Użu tal-Formula Kwadratika

Immultiplika 112 u 812 biex tikseb 90944.

$$120000=90944\times \left(\frac{x}{1000}\right)^{2}$$

Biex tgħolli \frac{x}{1000} għal qawwa, għolli kemm in-numeratur u d-denominatur għall-qawwa u mbagħad iddividi.

$$120000=90944\times \frac{x^{2}}{1000^{2}}$$

Esprimi 90944\times \frac{x^{2}}{1000^{2}} bħala frazzjoni waħda.

$$120000=\frac{90944x^{2}}{1000^{2}}$$

Ikkalkula 1000 bil-power ta' 2 u tikseb 1000000.

$$120000=\frac{90944x^{2}}{1000000}$$

Iddividi 90944x^{2} b'1000000 biex tikseb\frac{1421}{15625}x^{2}.

$$120000=\frac{1421}{15625}x^{2}$$

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

$$\frac{1421}{15625}x^{2}=120000$$

Naqqas 120000 miż-żewġ naħat.

$$\frac{1421}{15625}x^{2}-120000=0$$

Din l-ekwazzjoni hija fil-forma standard: ax^{2}+bx+c=0. Issostitwixxi \frac{1421}{15625} għal a, 0 għal b, u -120000 għal c fil-formula kwadratika, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times \frac{1421}{15625}\left(-120000\right)}}{2\times \frac{1421}{15625}}$$

Ikkwadra 0.

$$x=\frac{0±\sqrt{-4\times \frac{1421}{15625}\left(-120000\right)}}{2\times \frac{1421}{15625}}$$

Immultiplika -4 b'\frac{1421}{15625}.

$$x=\frac{0±\sqrt{-\frac{5684}{15625}\left(-120000\right)}}{2\times \frac{1421}{15625}}$$

Immultiplika -\frac{5684}{15625} b'-120000.

$$x=\frac{0±\sqrt{\frac{1091328}{25}}}{2\times \frac{1421}{15625}}$$

Ħu l-għerq kwadrat ta' \frac{1091328}{25}.

$$x=\frac{0±\frac{112\sqrt{87}}{5}}{2\times \frac{1421}{15625}}$$

Immultiplika 2 b'\frac{1421}{15625}.

$$x=\frac{0±\frac{112\sqrt{87}}{5}}{\frac{2842}{15625}}$$

Issa solvi l-ekwazzjoni x=\frac{0±\frac{112\sqrt{87}}{5}}{\frac{2842}{15625}} fejn ± hija plus.

$$x=\frac{25000\sqrt{87}}{203}$$

Issa solvi l-ekwazzjoni x=\frac{0±\frac{112\sqrt{87}}{5}}{\frac{2842}{15625}} fejn ± hija minus.

$$x=-\frac{25000\sqrt{87}}{203}$$

L-ekwazzjoni issa solvuta.

$$x=\frac{25000\sqrt{87}}{203} x=-\frac{25000\sqrt{87}}{203}$$