Datrys 120000=112*812{left(x/1000right)}^2

$$120000 = 112 \cdot 812 { \left( \frac{ x }{ 1000 } \right) }^{ 2 }$$

Datrys ar gyfer x

$$x = \frac{25000 \sqrt{87}}{203} \approx 1148.692001612$$

$$x = -\frac{25000 \sqrt{87}}{203} \approx -1148.692001612$$

Camau drwy Ganfod Isradd

Lluosi 112 a 812 i gael 90944.

$$120000=90944\times \left(\frac{x}{1000}\right)^{2}$$

I godi \frac{x}{1000} i bŵer, codwch y rhifiadur a'r enwadur i bŵer ac yna rhannwch nhw.

$$120000=90944\times \frac{x^{2}}{1000^{2}}$$

Mynegwch 90944\times \frac{x^{2}}{1000^{2}} fel ffracsiwn unigol.

$$120000=\frac{90944x^{2}}{1000^{2}}$$

Cyfrifo 1000 i bŵer 2 a chael 1000000.

$$120000=\frac{90944x^{2}}{1000000}$$

Rhannu 90944x^{2} â 1000000 i gael \frac{1421}{15625}x^{2}.

$$120000=\frac{1421}{15625}x^{2}$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$\frac{1421}{15625}x^{2}=120000$$

Lluoswch y ddwy ochr â \frac{15625}{1421}, cilyddol \frac{1421}{15625}.

$$x^{2}=120000\times \frac{15625}{1421}$$

Lluosi 120000 a \frac{15625}{1421} i gael \frac{1875000000}{1421}.

$$x^{2}=\frac{1875000000}{1421}$$

Cymryd isradd dwy ochr yr hafaliad.

$$x=\frac{25000\sqrt{87}}{203} x=-\frac{25000\sqrt{87}}{203}$$

Camau gan Ddefnyddio’r Fformiwla Cwadratig

Lluosi 112 a 812 i gael 90944.

$$120000=90944\times \left(\frac{x}{1000}\right)^{2}$$

I godi \frac{x}{1000} i bŵer, codwch y rhifiadur a'r enwadur i bŵer ac yna rhannwch nhw.

$$120000=90944\times \frac{x^{2}}{1000^{2}}$$

Mynegwch 90944\times \frac{x^{2}}{1000^{2}} fel ffracsiwn unigol.

$$120000=\frac{90944x^{2}}{1000^{2}}$$

Cyfrifo 1000 i bŵer 2 a chael 1000000.

$$120000=\frac{90944x^{2}}{1000000}$$

Rhannu 90944x^{2} â 1000000 i gael \frac{1421}{15625}x^{2}.

$$120000=\frac{1421}{15625}x^{2}$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$\frac{1421}{15625}x^{2}=120000$$

Tynnu 120000 o'r ddwy ochr.

$$\frac{1421}{15625}x^{2}-120000=0$$

Mae’r hafaliad hwn yn y ffurf safonol: ax^{2}+bx+c=0. Amnewidiwch \frac{1421}{15625} am a, 0 am b, a -120000 am c yn y fformiwla gwadratig, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times \frac{1421}{15625}\left(-120000\right)}}{2\times \frac{1421}{15625}}$$

Sgwâr 0.

$$x=\frac{0±\sqrt{-4\times \frac{1421}{15625}\left(-120000\right)}}{2\times \frac{1421}{15625}}$$

Lluoswch -4 â \frac{1421}{15625}.

$$x=\frac{0±\sqrt{-\frac{5684}{15625}\left(-120000\right)}}{2\times \frac{1421}{15625}}$$

Lluoswch -\frac{5684}{15625} â -120000.

$$x=\frac{0±\sqrt{\frac{1091328}{25}}}{2\times \frac{1421}{15625}}$$

Cymryd isradd \frac{1091328}{25}.

$$x=\frac{0±\frac{112\sqrt{87}}{5}}{2\times \frac{1421}{15625}}$$

Lluoswch 2 â \frac{1421}{15625}.

$$x=\frac{0±\frac{112\sqrt{87}}{5}}{\frac{2842}{15625}}$$

Datryswch yr hafaliad x=\frac{0±\frac{112\sqrt{87}}{5}}{\frac{2842}{15625}} pan fydd ± yn plws.

$$x=\frac{25000\sqrt{87}}{203}$$

Datryswch yr hafaliad x=\frac{0±\frac{112\sqrt{87}}{5}}{\frac{2842}{15625}} pan fydd ± yn minws.

$$x=-\frac{25000\sqrt{87}}{203}$$

Mae’r hafaliad wedi’i ddatrys nawr.

$$x=\frac{25000\sqrt{87}}{203} x=-\frac{25000\sqrt{87}}{203}$$