Issolvi 120000=1.12(110.2)(x/1000)^2

$$120000 = 1.12 ( 110.2 ) ( \frac { x } { 1000 } ) ^ { 2 }$$

Solvi għal x

$$x = \frac{500000 \sqrt{57855}}{3857} \approx 31181.055655419$$

$$x = -\frac{500000 \sqrt{57855}}{3857} \approx -31181.055655419$$

Passi billi Ssib l-Għerq Kwadrat

Immultiplika 1.12 u 110.2 biex tikseb 123.424.

$$120000=123.424\times \left(\frac{x}{1000}\right)^{2}$$

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

$$120000=123.424\times \frac{x^{2}}{1000^{2}}$$

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

$$120000=123.424\times \frac{x^{2}}{1000000}$$

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

$$123.424\times \frac{x^{2}}{1000000}=120000$$

Iddividi ż-żewġ naħat b'123.424.

$$\frac{x^{2}}{1000000}=\frac{120000}{123.424}$$

Espandi \frac{120000}{123.424} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000.

$$\frac{x^{2}}{1000000}=\frac{120000000}{123424}$$

Naqqas il-frazzjoni \frac{120000000}{123424} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 32.

$$\frac{x^{2}}{1000000}=\frac{3750000}{3857}$$

Immultiplika ż-żewġ naħat b'1000000.

$$x^{2}=\frac{3750000}{3857}\times 1000000$$

Immultiplika \frac{3750000}{3857} u 1000000 biex tikseb \frac{3750000000000}{3857}.

$$x^{2}=\frac{3750000000000}{3857}$$

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

$$x=\frac{500000\sqrt{57855}}{3857} x=-\frac{500000\sqrt{57855}}{3857}$$

Passi għall-Użu tal-Formula Kwadratika

Immultiplika 1.12 u 110.2 biex tikseb 123.424.

$$120000=123.424\times \left(\frac{x}{1000}\right)^{2}$$

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

$$120000=123.424\times \frac{x^{2}}{1000^{2}}$$

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

$$120000=123.424\times \frac{x^{2}}{1000000}$$

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

$$123.424\times \frac{x^{2}}{1000000}=120000$$

Naqqas 120000 miż-żewġ naħat.

$$123.424\times \frac{x^{2}}{1000000}-120000=0$$

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'1000000.

$$123.424x^{2}-120000000000=0$$

Din l-ekwazzjoni hija fil-forma standard: ax^{2}+bx+c=0. Issostitwixxi 123.424 għal a, 0 għal b, u -120000000000 għal c fil-formula kwadratika, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 123.424\left(-120000000000\right)}}{2\times 123.424}$$

Ikkwadra 0.

$$x=\frac{0±\sqrt{-4\times 123.424\left(-120000000000\right)}}{2\times 123.424}$$

Immultiplika -4 b'123.424.

$$x=\frac{0±\sqrt{-493.696\left(-120000000000\right)}}{2\times 123.424}$$

Immultiplika -493.696 b'-120000000000.

$$x=\frac{0±\sqrt{59243520000000}}{2\times 123.424}$$

Ħu l-għerq kwadrat ta' 59243520000000.

$$x=\frac{0±32000\sqrt{57855}}{2\times 123.424}$$

Immultiplika 2 b'123.424.

$$x=\frac{0±32000\sqrt{57855}}{246.848}$$

Issa solvi l-ekwazzjoni x=\frac{0±32000\sqrt{57855}}{246.848} fejn ± hija plus.

$$x=\frac{500000\sqrt{57855}}{3857}$$

Issa solvi l-ekwazzjoni x=\frac{0±32000\sqrt{57855}}{246.848} fejn ± hija minus.

$$x=-\frac{500000\sqrt{57855}}{3857}$$

L-ekwazzjoni issa solvuta.

$$x=\frac{500000\sqrt{57855}}{3857} x=-\frac{500000\sqrt{57855}}{3857}$$