Datrys 120000=1.12(110.2)(x/1000)^2

$$120000 = 1.12 ( 110.2 ) ( \frac { x } { 1000 } ) ^ { 2 }$$

Datrys ar gyfer x

$$x = \frac{500000 \sqrt{57855}}{3857} \approx 31181.055655419$$

$$x = -\frac{500000 \sqrt{57855}}{3857} \approx -31181.055655419$$

Camau drwy Ganfod Isradd

Lluosi 1.12 a 110.2 i gael 123.424.

$$120000=123.424\times \left(\frac{x}{1000}\right)^{2}$$

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

$$120000=123.424\times \frac{x^{2}}{1000^{2}}$$

Cyfrifo 1000 i bŵer 2 a chael 1000000.

$$120000=123.424\times \frac{x^{2}}{1000000}$$

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

$$123.424\times \frac{x^{2}}{1000000}=120000$$

Rhannu’r ddwy ochr â 123.424.

$$\frac{x^{2}}{1000000}=\frac{120000}{123.424}$$

Ehangu \frac{120000}{123.424} drwy luosi'r rhifiadur a'r enwadur gyda 1000.

$$\frac{x^{2}}{1000000}=\frac{120000000}{123424}$$

Lleihau'r ffracsiwn \frac{120000000}{123424} i'r graddau lleiaf posib drwy dynnu a chanslo allan 32.

$$\frac{x^{2}}{1000000}=\frac{3750000}{3857}$$

Lluosi’r ddwy ochr â 1000000.

$$x^{2}=\frac{3750000}{3857}\times 1000000$$

Lluosi \frac{3750000}{3857} a 1000000 i gael \frac{3750000000000}{3857}.

$$x^{2}=\frac{3750000000000}{3857}$$

Cymryd isradd dwy ochr yr hafaliad.

$$x=\frac{500000\sqrt{57855}}{3857} x=-\frac{500000\sqrt{57855}}{3857}$$

Camau gan Ddefnyddio’r Fformiwla Cwadratig

Lluosi 1.12 a 110.2 i gael 123.424.

$$120000=123.424\times \left(\frac{x}{1000}\right)^{2}$$

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

$$120000=123.424\times \frac{x^{2}}{1000^{2}}$$

Cyfrifo 1000 i bŵer 2 a chael 1000000.

$$120000=123.424\times \frac{x^{2}}{1000000}$$

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

$$123.424\times \frac{x^{2}}{1000000}=120000$$

Tynnu 120000 o'r ddwy ochr.

$$123.424\times \frac{x^{2}}{1000000}-120000=0$$

Lluoswch ddwy ochr yr hafaliad â 1000000.

$$123.424x^{2}-120000000000=0$$

Mae’r hafaliad hwn yn y ffurf safonol: ax^{2}+bx+c=0. Amnewidiwch 123.424 am a, 0 am b, a -120000000000 am c yn y fformiwla gwadratig, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 123.424\left(-120000000000\right)}}{2\times 123.424}$$

Sgwâr 0.

$$x=\frac{0±\sqrt{-4\times 123.424\left(-120000000000\right)}}{2\times 123.424}$$

Lluoswch -4 â 123.424.

$$x=\frac{0±\sqrt{-493.696\left(-120000000000\right)}}{2\times 123.424}$$

Lluoswch -493.696 â -120000000000.

$$x=\frac{0±\sqrt{59243520000000}}{2\times 123.424}$$

Cymryd isradd 59243520000000.

$$x=\frac{0±32000\sqrt{57855}}{2\times 123.424}$$

Lluoswch 2 â 123.424.

$$x=\frac{0±32000\sqrt{57855}}{246.848}$$

Datryswch yr hafaliad x=\frac{0±32000\sqrt{57855}}{246.848} pan fydd ± yn plws.

$$x=\frac{500000\sqrt{57855}}{3857}$$

Datryswch yr hafaliad x=\frac{0±32000\sqrt{57855}}{246.848} pan fydd ± yn minws.

$$x=-\frac{500000\sqrt{57855}}{3857}$$

Mae’r hafaliad wedi’i ddatrys nawr.

$$x=\frac{500000\sqrt{57855}}{3857} x=-\frac{500000\sqrt{57855}}{3857}$$