Issolvi 0.1=2y(1-0.1/1+0.1-x/sqrt{9.96*10^6})-1

$$0.1=2y( \frac{ 1-0.1 }{ 1+0.1 } - \frac{ x }{ \sqrt{ 9.96 \times { 10 }^{ 6 } } } )-1$$

Solvi għal x

$$x=\frac{10\sqrt{249}\left(180y-121\right)}{11y}$$

$$y\neq 0$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas 0.1 minn 1 biex tikseb 0.9.

$$0.1=2y\left(\frac{0.9}{1+0.1}-\frac{x}{\sqrt{9.96\times 10^{6}}}\right)-1$$

Żid 1 u 0.1 biex tikseb 1.1.

$$0.1=2y\left(\frac{0.9}{1.1}-\frac{x}{\sqrt{9.96\times 10^{6}}}\right)-1$$

Espandi \frac{0.9}{1.1} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$0.1=2y\left(\frac{9}{11}-\frac{x}{\sqrt{9.96\times 10^{6}}}\right)-1$$

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

$$0.1=2y\left(\frac{9}{11}-\frac{x}{\sqrt{9.96\times 1000000}}\right)-1$$

Immultiplika 9.96 u 1000000 biex tikseb 9960000.

$$0.1=2y\left(\frac{9}{11}-\frac{x}{\sqrt{9960000}}\right)-1$$

Iffattura 9960000=200^{2}\times 249. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{200^{2}\times 249} bħala l-prodott tal-għeruq kwadrati \sqrt{200^{2}}\sqrt{249}. Ħu l-għerq kwadrat ta' 200^{2}.

$$0.1=2y\left(\frac{9}{11}-\frac{x}{200\sqrt{249}}\right)-1$$

Irrazzjonalizza d-denominatur tal-\frac{x}{200\sqrt{249}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{249}.

$$0.1=2y\left(\frac{9}{11}-\frac{x\sqrt{249}}{200\left(\sqrt{249}\right)^{2}}\right)-1$$

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

$$0.1=2y\left(\frac{9}{11}-\frac{x\sqrt{249}}{200\times 249}\right)-1$$

Immultiplika 200 u 249 biex tikseb 49800.

$$0.1=2y\left(\frac{9}{11}-\frac{x\sqrt{249}}{49800}\right)-1$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 11 u 49800 huwa 547800. Immultiplika \frac{9}{11} b'\frac{49800}{49800}. Immultiplika \frac{x\sqrt{249}}{49800} b'\frac{11}{11}.

$$0.1=2y\left(\frac{9\times 49800}{547800}-\frac{11x\sqrt{249}}{547800}\right)-1$$

Billi \frac{9\times 49800}{547800} u \frac{11x\sqrt{249}}{547800} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$0.1=2y\times \frac{9\times 49800-11x\sqrt{249}}{547800}-1$$

Agħmel il-multiplikazzjonijiet fi 9\times 49800-11x\sqrt{249}.

$$0.1=2y\times \frac{448200-11x\sqrt{249}}{547800}-1$$

Ikkanċella l-akbar fattur komuni 547800 f'2 u 547800.

$$0.1=\frac{448200-11x\sqrt{249}}{273900}y-1$$

Esprimi \frac{448200-11x\sqrt{249}}{273900}y bħala frazzjoni waħda.

$$0.1=\frac{\left(448200-11x\sqrt{249}\right)y}{273900}-1$$

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

$$\frac{\left(448200-11x\sqrt{249}\right)y}{273900}-1=0.1$$

Uża l-propjetà distributtiva biex timmultiplika 448200-11x\sqrt{249} b'y.

$$\frac{448200y-11x\sqrt{249}y}{273900}-1=0.1$$

Żid 1 maż-żewġ naħat.

$$\frac{448200y-11x\sqrt{249}y}{273900}=0.1+1$$

Żid 0.1 u 1 biex tikseb 1.1.

$$\frac{448200y-11x\sqrt{249}y}{273900}=1.1$$

Immultiplika ż-żewġ naħat b'273900.

$$448200y-11x\sqrt{249}y=1.1\times 273900$$

Immultiplika 1.1 u 273900 biex tikseb 301290.

$$448200y-11x\sqrt{249}y=301290$$

Naqqas 448200y miż-żewġ naħat.

$$-11x\sqrt{249}y=301290-448200y$$

L-ekwazzjoni hija f'forma standard.

$$\left(-11\sqrt{249}y\right)x=301290-448200y$$

Iddividi ż-żewġ naħat b'-11\sqrt{249}y.

$$\frac{\left(-11\sqrt{249}y\right)x}{-11\sqrt{249}y}=\frac{301290-448200y}{-11\sqrt{249}y}$$

Meta tiddividi b'-11\sqrt{249}y titneħħa l-multiplikazzjoni b'-11\sqrt{249}y.

$$x=\frac{301290-448200y}{-11\sqrt{249}y}$$

Iddividi 301290-448200y b'-11\sqrt{249}y.

$$x=-\frac{10\sqrt{249}\left(121-180y\right)}{11y}$$

Solvi għal y

$$y=\frac{301290}{-11\sqrt{249}x+448200}$$

$$x\neq \frac{1800\sqrt{249}}{11}$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas 0.1 minn 1 biex tikseb 0.9.

$$0.1=2y\left(\frac{0.9}{1+0.1}-\frac{x}{\sqrt{9.96\times 10^{6}}}\right)-1$$

Żid 1 u 0.1 biex tikseb 1.1.

$$0.1=2y\left(\frac{0.9}{1.1}-\frac{x}{\sqrt{9.96\times 10^{6}}}\right)-1$$

Espandi \frac{0.9}{1.1} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$0.1=2y\left(\frac{9}{11}-\frac{x}{\sqrt{9.96\times 10^{6}}}\right)-1$$

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

$$0.1=2y\left(\frac{9}{11}-\frac{x}{\sqrt{9.96\times 1000000}}\right)-1$$

Immultiplika 9.96 u 1000000 biex tikseb 9960000.

$$0.1=2y\left(\frac{9}{11}-\frac{x}{\sqrt{9960000}}\right)-1$$

Iffattura 9960000=200^{2}\times 249. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{200^{2}\times 249} bħala l-prodott tal-għeruq kwadrati \sqrt{200^{2}}\sqrt{249}. Ħu l-għerq kwadrat ta' 200^{2}.

$$0.1=2y\left(\frac{9}{11}-\frac{x}{200\sqrt{249}}\right)-1$$

Irrazzjonalizza d-denominatur tal-\frac{x}{200\sqrt{249}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{249}.

$$0.1=2y\left(\frac{9}{11}-\frac{x\sqrt{249}}{200\left(\sqrt{249}\right)^{2}}\right)-1$$

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

$$0.1=2y\left(\frac{9}{11}-\frac{x\sqrt{249}}{200\times 249}\right)-1$$

Immultiplika 200 u 249 biex tikseb 49800.

$$0.1=2y\left(\frac{9}{11}-\frac{x\sqrt{249}}{49800}\right)-1$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 11 u 49800 huwa 547800. Immultiplika \frac{9}{11} b'\frac{49800}{49800}. Immultiplika \frac{x\sqrt{249}}{49800} b'\frac{11}{11}.

$$0.1=2y\left(\frac{9\times 49800}{547800}-\frac{11x\sqrt{249}}{547800}\right)-1$$

Billi \frac{9\times 49800}{547800} u \frac{11x\sqrt{249}}{547800} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$0.1=2y\times \frac{9\times 49800-11x\sqrt{249}}{547800}-1$$

Agħmel il-multiplikazzjonijiet fi 9\times 49800-11x\sqrt{249}.

$$0.1=2y\times \frac{448200-11x\sqrt{249}}{547800}-1$$

Ikkanċella l-akbar fattur komuni 547800 f'2 u 547800.

$$0.1=\frac{448200-11x\sqrt{249}}{273900}y-1$$

Esprimi \frac{448200-11x\sqrt{249}}{273900}y bħala frazzjoni waħda.

$$0.1=\frac{\left(448200-11x\sqrt{249}\right)y}{273900}-1$$

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

$$\frac{\left(448200-11x\sqrt{249}\right)y}{273900}-1=0.1$$

Uża l-propjetà distributtiva biex timmultiplika 448200-11x\sqrt{249} b'y.

$$\frac{448200y-11x\sqrt{249}y}{273900}-1=0.1$$

Żid 1 maż-żewġ naħat.

$$\frac{448200y-11x\sqrt{249}y}{273900}=0.1+1$$

Żid 0.1 u 1 biex tikseb 1.1.

$$\frac{448200y-11x\sqrt{249}y}{273900}=1.1$$

Immultiplika ż-żewġ naħat b'273900.

$$448200y-11x\sqrt{249}y=1.1\times 273900$$

Immultiplika 1.1 u 273900 biex tikseb 301290.

$$448200y-11x\sqrt{249}y=301290$$

Ikkombina t-termini kollha li fihom y.

$$\left(448200-11x\sqrt{249}\right)y=301290$$

L-ekwazzjoni hija f'forma standard.

$$\left(-11\sqrt{249}x+448200\right)y=301290$$

Iddividi ż-żewġ naħat b'448200-11x\sqrt{249}.

$$\frac{\left(-11\sqrt{249}x+448200\right)y}{-11\sqrt{249}x+448200}=\frac{301290}{-11\sqrt{249}x+448200}$$

Meta tiddividi b'448200-11x\sqrt{249} titneħħa l-multiplikazzjoni b'448200-11x\sqrt{249}.

$$y=\frac{301290}{-11\sqrt{249}x+448200}$$