Datrys 120000=112(1102)(x/1000)^2

$$120000 = 112 ( 1102 ) ( \frac { x } { 1000 } ) ^ { 2 }$$

Datrys ar gyfer x

$$x = \frac{25000 \sqrt{23142}}{3857} \approx 986.031557196$$

$$x = -\frac{25000 \sqrt{23142}}{3857} \approx -986.031557196$$

Camau drwy Ganfod Isradd

Lluosi 112 a 1102 i gael 123424.

$$120000=123424\times \left(\frac{x}{1000}\right)^{2}$$

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

$$120000=123424\times \frac{x^{2}}{1000^{2}}$$

Mynegwch 123424\times \frac{x^{2}}{1000^{2}} fel ffracsiwn unigol.

$$120000=\frac{123424x^{2}}{1000^{2}}$$

Cyfrifo 1000 i bŵer 2 a chael 1000000.

$$120000=\frac{123424x^{2}}{1000000}$$

Rhannu 123424x^{2} â 1000000 i gael \frac{3857}{31250}x^{2}.

$$120000=\frac{3857}{31250}x^{2}$$

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

$$\frac{3857}{31250}x^{2}=120000$$

Lluoswch y ddwy ochr â \frac{31250}{3857}, cilyddol \frac{3857}{31250}.

$$x^{2}=120000\times \frac{31250}{3857}$$

Lluosi 120000 a \frac{31250}{3857} i gael \frac{3750000000}{3857}.

$$x^{2}=\frac{3750000000}{3857}$$

Cymryd isradd dwy ochr yr hafaliad.

$$x=\frac{25000\sqrt{23142}}{3857} x=-\frac{25000\sqrt{23142}}{3857}$$

Camau gan Ddefnyddio’r Fformiwla Cwadratig

Lluosi 112 a 1102 i gael 123424.

$$120000=123424\times \left(\frac{x}{1000}\right)^{2}$$

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

$$120000=123424\times \frac{x^{2}}{1000^{2}}$$

Mynegwch 123424\times \frac{x^{2}}{1000^{2}} fel ffracsiwn unigol.

$$120000=\frac{123424x^{2}}{1000^{2}}$$

Cyfrifo 1000 i bŵer 2 a chael 1000000.

$$120000=\frac{123424x^{2}}{1000000}$$

Rhannu 123424x^{2} â 1000000 i gael \frac{3857}{31250}x^{2}.

$$120000=\frac{3857}{31250}x^{2}$$

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

$$\frac{3857}{31250}x^{2}=120000$$

Tynnu 120000 o'r ddwy ochr.

$$\frac{3857}{31250}x^{2}-120000=0$$

Mae’r hafaliad hwn yn y ffurf safonol: ax^{2}+bx+c=0. Amnewidiwch \frac{3857}{31250} am a, 0 am b, a -120000 am c yn y fformiwla gwadratig, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times \frac{3857}{31250}\left(-120000\right)}}{2\times \frac{3857}{31250}}$$

Sgwâr 0.

$$x=\frac{0±\sqrt{-4\times \frac{3857}{31250}\left(-120000\right)}}{2\times \frac{3857}{31250}}$$

Lluoswch -4 â \frac{3857}{31250}.

$$x=\frac{0±\sqrt{-\frac{7714}{15625}\left(-120000\right)}}{2\times \frac{3857}{31250}}$$

Lluoswch -\frac{7714}{15625} â -120000.

$$x=\frac{0±\sqrt{\frac{1481088}{25}}}{2\times \frac{3857}{31250}}$$

Cymryd isradd \frac{1481088}{25}.

$$x=\frac{0±\frac{8\sqrt{23142}}{5}}{2\times \frac{3857}{31250}}$$

Lluoswch 2 â \frac{3857}{31250}.

$$x=\frac{0±\frac{8\sqrt{23142}}{5}}{\frac{3857}{15625}}$$

Datryswch yr hafaliad x=\frac{0±\frac{8\sqrt{23142}}{5}}{\frac{3857}{15625}} pan fydd ± yn plws.

$$x=\frac{25000\sqrt{23142}}{3857}$$

Datryswch yr hafaliad x=\frac{0±\frac{8\sqrt{23142}}{5}}{\frac{3857}{15625}} pan fydd ± yn minws.

$$x=-\frac{25000\sqrt{23142}}{3857}$$

Mae’r hafaliad wedi’i ddatrys nawr.

$$x=\frac{25000\sqrt{23142}}{3857} x=-\frac{25000\sqrt{23142}}{3857}$$