Issolvi 44633466/5134334344334*sqrt{58/99999}+663434sqrt{5/8/frac{5{9}}}x=9

$$\frac{ 44633466 }{ 5134334344334 } \times \sqrt{ \frac{ 58 }{ 99999 } } +663434 \sqrt{ \frac{ \frac{ 5 }{ 8 } }{ \frac{ 5 }{ 9 } } } x=9$$

Solvi għal x

$$x=\frac{3\sqrt{2}}{331717}-\frac{4959274\sqrt{322219}}{9461827523553247131029}\approx 0.00001279$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas il-frazzjoni \frac{44633466}{5134334344334} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{22316733}{2567167172167}\sqrt{\frac{58}{99999}}+663434\sqrt{\frac{\frac{5}{8}}{\frac{5}{9}}}x=9$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{58}{99999}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{58}}{\sqrt{99999}}.

$$\frac{22316733}{2567167172167}\times \frac{\sqrt{58}}{\sqrt{99999}}+663434\sqrt{\frac{\frac{5}{8}}{\frac{5}{9}}}x=9$$

Iffattura 99999=3^{2}\times 11111. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 11111} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{11111}. Ħu l-għerq kwadrat ta' 3^{2}.

$$\frac{22316733}{2567167172167}\times \frac{\sqrt{58}}{3\sqrt{11111}}+663434\sqrt{\frac{\frac{5}{8}}{\frac{5}{9}}}x=9$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{58}}{3\sqrt{11111}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{11111}.

$$\frac{22316733}{2567167172167}\times \frac{\sqrt{58}\sqrt{11111}}{3\left(\sqrt{11111}\right)^{2}}+663434\sqrt{\frac{\frac{5}{8}}{\frac{5}{9}}}x=9$$

Il-kwadrat ta' \sqrt{11111} huwa 11111.

$$\frac{22316733}{2567167172167}\times \frac{\sqrt{58}\sqrt{11111}}{3\times 11111}+663434\sqrt{\frac{\frac{5}{8}}{\frac{5}{9}}}x=9$$

Biex timmultiplika \sqrt{58} u \sqrt{11111}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{22316733}{2567167172167}\times \frac{\sqrt{644438}}{3\times 11111}+663434\sqrt{\frac{\frac{5}{8}}{\frac{5}{9}}}x=9$$

Immultiplika 3 u 11111 biex tikseb 33333.

$$\frac{22316733}{2567167172167}\times \frac{\sqrt{644438}}{33333}+663434\sqrt{\frac{\frac{5}{8}}{\frac{5}{9}}}x=9$$

Immultiplika \frac{22316733}{2567167172167} b'\frac{\sqrt{644438}}{33333} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{22316733\sqrt{644438}}{2567167172167\times 33333}+663434\sqrt{\frac{\frac{5}{8}}{\frac{5}{9}}}x=9$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+663434\sqrt{\frac{\frac{5}{8}}{\frac{5}{9}}}x=9$$

Iddividi \frac{5}{8} b'\frac{5}{9} billi timmultiplika \frac{5}{8} bir-reċiproku ta' \frac{5}{9}.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+663434\sqrt{\frac{5}{8}\times \frac{9}{5}}x=9$$

Immultiplika \frac{5}{8} b'\frac{9}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+663434\sqrt{\frac{5\times 9}{8\times 5}}x=9$$

Annulla 5 fin-numeratur u d-denominatur.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+663434\sqrt{\frac{9}{8}}x=9$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{9}{8}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{9}}{\sqrt{8}}.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+663434\times \frac{\sqrt{9}}{\sqrt{8}}x=9$$

Ikkalkula l-għerq kwadrat ta' 9 u ikseb 3.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+663434\times \frac{3}{\sqrt{8}}x=9$$

Iffattura 8=2^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+663434\times \frac{3}{2\sqrt{2}}x=9$$

Irrazzjonalizza d-denominatur tal-\frac{3}{2\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+663434\times \frac{3\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}x=9$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+663434\times \frac{3\sqrt{2}}{2\times 2}x=9$$

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+663434\times \frac{3\sqrt{2}}{4}x=9$$

Esprimi 663434\times \frac{3\sqrt{2}}{4} bħala frazzjoni waħda.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+\frac{663434\times 3\sqrt{2}}{4}x=9$$

Esprimi \frac{663434\times 3\sqrt{2}}{4}x bħala frazzjoni waħda.

$$\frac{7438911\sqrt{644438}}{11111\times 2567167172167}+\frac{663434\times 3\sqrt{2}x}{4}=9$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 11111\times 2567167172167 u 4 huwa 114095177799790148. Immultiplika \frac{7438911\sqrt{644438}}{11111\times 2567167172167} b'\frac{4}{4}. Immultiplika \frac{663434\times 3\sqrt{2}x}{4} b'\frac{28523794449947537}{28523794449947537}.

$$\frac{4\times 7438911\sqrt{644438}}{114095177799790148}+\frac{28523794449947537\times 663434\times 3\sqrt{2}x}{114095177799790148}=9$$

Billi \frac{4\times 7438911\sqrt{644438}}{114095177799790148} u \frac{28523794449947537\times 663434\times 3\sqrt{2}x}{114095177799790148} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{4\times 7438911\sqrt{644438}+28523794449947537\times 663434\times 3\sqrt{2}x}{114095177799790148}=9$$

Agħmel il-multiplikazzjonijiet fi 4\times 7438911\sqrt{644438}+28523794449947537\times 663434\times 3\sqrt{2}x.

$$\frac{29755644\sqrt{644438}+56770965141319482786174\sqrt{2}x}{114095177799790148}=9$$

Immultiplika ż-żewġ naħat b'114095177799790148.

$$29755644\sqrt{644438}+56770965141319482786174\sqrt{2}x=9\times 114095177799790148$$

Immultiplika 9 u 114095177799790148 biex tikseb 1026856600198111332.

$$29755644\sqrt{644438}+56770965141319482786174\sqrt{2}x=1026856600198111332$$

Naqqas 29755644\sqrt{644438} miż-żewġ naħat.

$$56770965141319482786174\sqrt{2}x=1026856600198111332-29755644\sqrt{644438}$$

Iddividi ż-żewġ naħat b'56770965141319482786174\sqrt{2}.

$$\frac{56770965141319482786174\sqrt{2}x}{56770965141319482786174\sqrt{2}}=\frac{1026856600198111332-29755644\sqrt{644438}}{56770965141319482786174\sqrt{2}}$$

Meta tiddividi b'56770965141319482786174\sqrt{2} titneħħa l-multiplikazzjoni b'56770965141319482786174\sqrt{2}.

$$x=\frac{1026856600198111332-29755644\sqrt{644438}}{56770965141319482786174\sqrt{2}}$$

Iddividi 1026856600198111332-29755644\sqrt{644438} b'56770965141319482786174\sqrt{2}.

$$x=\frac{3\sqrt{2}}{331717}-\frac{4959274\sqrt{322219}}{9461827523553247131029}$$