Issolvi (1/x+1/12)^-1+1=4

$$( \frac { 1 } { x } + \frac { 1 } { 12 } ) ^ { - 1 } + 1 = 4$$

Solvi għal x

$$x=4$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x u 12 huwa 12x. Immultiplika \frac{1}{x} b'\frac{12}{12}. Immultiplika \frac{1}{12} b'\frac{x}{x}.

$$\left(\frac{12}{12x}+\frac{x}{12x}\right)^{-1}+1=4$$

Billi \frac{12}{12x} u \frac{x}{12x} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\left(\frac{12+x}{12x}\right)^{-1}+1=4$$

Biex tgħolli \frac{12+x}{12x} għal qawwa, għolli kemm in-numeratur u d-denominatur għall-qawwa u mbagħad iddividi.

$$\frac{\left(12+x\right)^{-1}}{\left(12x\right)^{-1}}+1=4$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 1 b'\frac{\left(12x\right)^{-1}}{\left(12x\right)^{-1}}.

$$\frac{\left(12+x\right)^{-1}}{\left(12x\right)^{-1}}+\frac{\left(12x\right)^{-1}}{\left(12x\right)^{-1}}=4$$

Billi \frac{\left(12+x\right)^{-1}}{\left(12x\right)^{-1}} u \frac{\left(12x\right)^{-1}}{\left(12x\right)^{-1}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\left(12+x\right)^{-1}+\left(12x\right)^{-1}}{\left(12x\right)^{-1}}=4$$

Espandi \left(12x\right)^{-1}.

$$\frac{\left(12+x\right)^{-1}+12^{-1}x^{-1}}{\left(12x\right)^{-1}}=4$$

Ikkalkula 12 bil-power ta' -1 u tikseb \frac{1}{12}.

$$\frac{\left(12+x\right)^{-1}+\frac{1}{12}x^{-1}}{\left(12x\right)^{-1}}=4$$

Espandi \left(12x\right)^{-1}.

$$\frac{\left(12+x\right)^{-1}+\frac{1}{12}x^{-1}}{12^{-1}x^{-1}}=4$$

Ikkalkula 12 bil-power ta' -1 u tikseb \frac{1}{12}.

$$\frac{\left(12+x\right)^{-1}+\frac{1}{12}x^{-1}}{\frac{1}{12}x^{-1}}=4$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{\left(12+x\right)^{-1}+\frac{1}{12}x^{-1}}{\frac{1}{12}x^{-1}}.

$$\frac{\frac{1}{12}\left(12\times \frac{1}{x+12}+\frac{1}{x}\right)}{\frac{1}{12}\times \frac{1}{x}}=4$$

Biex tiddividi l-qawwa tal-istess bażi, naqqas l-esponent tan-numeratur mill-esponent tad-denominatur.

$$\frac{12\times \frac{1}{x+12}+\frac{1}{x}}{\left(\frac{1}{12}\right)^{0}\times \frac{1}{x}}=4$$

Esprimi 12\times \frac{1}{x+12} bħala frazzjoni waħda.

$$\frac{\frac{12}{x+12}+\frac{1}{x}}{\left(\frac{1}{12}\right)^{0}\times \frac{1}{x}}=4$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x+12 u x huwa x\left(x+12\right). Immultiplika \frac{12}{x+12} b'\frac{x}{x}. Immultiplika \frac{1}{x} b'\frac{x+12}{x+12}.

$$\frac{\frac{12x}{x\left(x+12\right)}+\frac{x+12}{x\left(x+12\right)}}{\left(\frac{1}{12}\right)^{0}\times \frac{1}{x}}=4$$

Billi \frac{12x}{x\left(x+12\right)} u \frac{x+12}{x\left(x+12\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{12x+x+12}{x\left(x+12\right)}}{\left(\frac{1}{12}\right)^{0}\times \frac{1}{x}}=4$$

Ikkombina termini simili f'12x+x+12.

$$\frac{\frac{13x+12}{x\left(x+12\right)}}{\left(\frac{1}{12}\right)^{0}\times \frac{1}{x}}=4$$

Ikkalkula \frac{1}{12} bil-power ta' 0 u tikseb 1.

$$\frac{\frac{13x+12}{x\left(x+12\right)}}{1\times \frac{1}{x}}=4$$

Esprimi 1\times \frac{1}{x} bħala frazzjoni waħda.

$$\frac{\frac{13x+12}{x\left(x+12\right)}}{\frac{1}{x}}=4$$

Il-varjabbli x ma jistax ikun ugwali għal 0 billi d-diviżjoni b'żero mhux iddefinit. Iddividi \frac{13x+12}{x\left(x+12\right)} b'\frac{1}{x} billi timmultiplika \frac{13x+12}{x\left(x+12\right)} bir-reċiproku ta' \frac{1}{x}.

$$\frac{\left(13x+12\right)x}{x\left(x+12\right)}=4$$

Il-varjabbli x ma jistax ikun ugwali għal kwalunkwe mill-valuri -12,0 billi d-diviżjoni b'żero mhix definita. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'x\left(x+12\right).

$$\left(13x+12\right)x=4x\left(x+12\right)$$

Erġa' ordna t-termini.

$$x\left(13x+12\right)=4x\left(x+12\right)$$

Uża l-propjetà distributtiva biex timmultiplika x b'13x+12.

$$13x^{2}+12x=4x\left(x+12\right)$$

Uża l-propjetà distributtiva biex timmultiplika 4x b'x+12.

$$13x^{2}+12x=4x^{2}+48x$$

Naqqas 4x^{2} miż-żewġ naħat.

$$13x^{2}+12x-4x^{2}=48x$$

Ikkombina 13x^{2} u -4x^{2} biex tikseb 9x^{2}.

$$9x^{2}+12x=48x$$

Naqqas 48x miż-żewġ naħat.

$$9x^{2}+12x-48x=0$$

Ikkombina 12x u -48x biex tikseb -36x.

$$9x^{2}-36x=0$$