Issolvi 003=2xleft(1-100/sqrt{996*10^6}right)-1

$$003 = 2x \left( 1- \frac{ 100 }{ \sqrt{ 996 \times { 10 }^{ 6 } } } \right) -1$$

Solvi għal x

$$x=\frac{10\left(\sqrt{249}+4980\right)}{99599}\approx 0.501589347$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika 0 u 0 biex tikseb 0.

$$0\times 3=2x\left(1-\frac{100}{\sqrt{996\times 10^{6}}}\right)-1$$

Immultiplika 0 u 3 biex tikseb 0.

$$0=2x\left(1-\frac{100}{\sqrt{996\times 10^{6}}}\right)-1$$

Ikkalkula 10 bil-power ta' 6 u tikseb 1000000.

$$0=2x\left(1-\frac{100}{\sqrt{996\times 1000000}}\right)-1$$

Immultiplika 996 u 1000000 biex tikseb 996000000.

$$0=2x\left(1-\frac{100}{\sqrt{996000000}}\right)-1$$

Iffattura 996000000=2000^{2}\times 249. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2000^{2}\times 249} bħala l-prodott tal-għeruq kwadrati \sqrt{2000^{2}}\sqrt{249}. Ħu l-għerq kwadrat ta' 2000^{2}.

$$0=2x\left(1-\frac{100}{2000\sqrt{249}}\right)-1$$

Irrazzjonalizza d-denominatur tal-\frac{100}{2000\sqrt{249}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{249}.

$$0=2x\left(1-\frac{100\sqrt{249}}{2000\left(\sqrt{249}\right)^{2}}\right)-1$$

Il-kwadrat ta' \sqrt{249} huwa 249.

$$0=2x\left(1-\frac{100\sqrt{249}}{2000\times 249}\right)-1$$

Annulla 100 fin-numeratur u d-denominatur.

$$0=2x\left(1-\frac{\sqrt{249}}{20\times 249}\right)-1$$

Immultiplika 20 u 249 biex tikseb 4980.

$$0=2x\left(1-\frac{\sqrt{249}}{4980}\right)-1$$

Uża l-propjetà distributtiva biex timmultiplika 2x b'1-\frac{\sqrt{249}}{4980}.

$$0=2x+2x\left(-\frac{\sqrt{249}}{4980}\right)-1$$

Ikkanċella l-akbar fattur komuni 4980 f'2 u 4980.

$$0=2x+\frac{\sqrt{249}}{-2490}x-1$$

Esprimi \frac{\sqrt{249}}{-2490}x bħala frazzjoni waħda.

$$0=2x+\frac{\sqrt{249}x}{-2490}-1$$

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

$$2x+\frac{\sqrt{249}x}{-2490}-1=0$$

Żid 1 maż-żewġ naħat. Xi ħaġa plus żero jirriżulta f'dan in-numru stess.

$$2x+\frac{\sqrt{249}x}{-2490}=1$$

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'-2490.

$$-4980x+\sqrt{249}x=-2490$$

Ikkombina t-termini kollha li fihom x.

$$\left(-4980+\sqrt{249}\right)x=-2490$$

L-ekwazzjoni hija f'forma standard.

$$\left(\sqrt{249}-4980\right)x=-2490$$

Iddividi ż-żewġ naħat b'-4980+\sqrt{249}.

$$\frac{\left(\sqrt{249}-4980\right)x}{\sqrt{249}-4980}=-\frac{2490}{\sqrt{249}-4980}$$

Meta tiddividi b'-4980+\sqrt{249} titneħħa l-multiplikazzjoni b'-4980+\sqrt{249}.

$$x=-\frac{2490}{\sqrt{249}-4980}$$

Iddividi -2490 b'-4980+\sqrt{249}.

$$x=\frac{10\sqrt{249}+49800}{99599}$$