Issolvi 120000=112(1102)(x/1000)^2

$$120000 = 112 ( 1102 ) ( \frac { x } { 1000 } ) ^ { 2 }$$

Solvi għal x

$$x = \frac{25000 \sqrt{23142}}{3857} \approx 986.031557196$$

$$x = -\frac{25000 \sqrt{23142}}{3857} \approx -986.031557196$$

Passi billi Ssib l-Għerq Kwadrat

Immultiplika 112 u 1102 biex tikseb 123424.

$$120000=123424\times \left(\frac{x}{1000}\right)^{2}$$

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

$$120000=123424\times \frac{x^{2}}{1000^{2}}$$

Esprimi 123424\times \frac{x^{2}}{1000^{2}} bħala frazzjoni waħda.

$$120000=\frac{123424x^{2}}{1000^{2}}$$

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

$$120000=\frac{123424x^{2}}{1000000}$$

Iddividi 123424x^{2} b'1000000 biex tikseb\frac{3857}{31250}x^{2}.

$$120000=\frac{3857}{31250}x^{2}$$

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

$$\frac{3857}{31250}x^{2}=120000$$

Immultiplika ż-żewġ naħat b'\frac{31250}{3857}, ir-reċiproku ta' \frac{3857}{31250}.

$$x^{2}=120000\times \frac{31250}{3857}$$

Immultiplika 120000 u \frac{31250}{3857} biex tikseb \frac{3750000000}{3857}.

$$x^{2}=\frac{3750000000}{3857}$$

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

$$x=\frac{25000\sqrt{23142}}{3857} x=-\frac{25000\sqrt{23142}}{3857}$$

Passi għall-Użu tal-Formula Kwadratika

Immultiplika 112 u 1102 biex tikseb 123424.

$$120000=123424\times \left(\frac{x}{1000}\right)^{2}$$

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

$$120000=123424\times \frac{x^{2}}{1000^{2}}$$

Esprimi 123424\times \frac{x^{2}}{1000^{2}} bħala frazzjoni waħda.

$$120000=\frac{123424x^{2}}{1000^{2}}$$

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

$$120000=\frac{123424x^{2}}{1000000}$$

Iddividi 123424x^{2} b'1000000 biex tikseb\frac{3857}{31250}x^{2}.

$$120000=\frac{3857}{31250}x^{2}$$

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

$$\frac{3857}{31250}x^{2}=120000$$

Naqqas 120000 miż-żewġ naħat.

$$\frac{3857}{31250}x^{2}-120000=0$$

Din l-ekwazzjoni hija fil-forma standard: ax^{2}+bx+c=0. Issostitwixxi \frac{3857}{31250} għal a, 0 għal b, u -120000 għal c fil-formula kwadratika, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times \frac{3857}{31250}\left(-120000\right)}}{2\times \frac{3857}{31250}}$$

Ikkwadra 0.

$$x=\frac{0±\sqrt{-4\times \frac{3857}{31250}\left(-120000\right)}}{2\times \frac{3857}{31250}}$$

Immultiplika -4 b'\frac{3857}{31250}.

$$x=\frac{0±\sqrt{-\frac{7714}{15625}\left(-120000\right)}}{2\times \frac{3857}{31250}}$$

Immultiplika -\frac{7714}{15625} b'-120000.

$$x=\frac{0±\sqrt{\frac{1481088}{25}}}{2\times \frac{3857}{31250}}$$

Ħu l-għerq kwadrat ta' \frac{1481088}{25}.

$$x=\frac{0±\frac{8\sqrt{23142}}{5}}{2\times \frac{3857}{31250}}$$

Immultiplika 2 b'\frac{3857}{31250}.

$$x=\frac{0±\frac{8\sqrt{23142}}{5}}{\frac{3857}{15625}}$$

Issa solvi l-ekwazzjoni x=\frac{0±\frac{8\sqrt{23142}}{5}}{\frac{3857}{15625}} fejn ± hija plus.

$$x=\frac{25000\sqrt{23142}}{3857}$$

Issa solvi l-ekwazzjoni x=\frac{0±\frac{8\sqrt{23142}}{5}}{\frac{3857}{15625}} fejn ± hija minus.

$$x=-\frac{25000\sqrt{23142}}{3857}$$

L-ekwazzjoni issa solvuta.

$$x=\frac{25000\sqrt{23142}}{3857} x=-\frac{25000\sqrt{23142}}{3857}$$