Datrys (8314*273)^2*(a^2-01a)=231*10^6

$$( 8314 \times 273 ) ^ { 2 } \times ( a ^ { 2 } - 01 a ) = 231 \times 10 ^ { 6 }$$

Datrys ar gyfer a

$$a=\frac{500\sqrt{231}}{1134861}\approx 0.006696276$$

$$a=-\frac{500\sqrt{231}}{1134861}\approx -0.006696276$$

Camau drwy Ganfod Isradd

Lluosi 8314 a 273 i gael 2269722.

$$2269722^{2}\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

Cyfrifo 2269722 i bŵer 2 a chael 5151637957284.

$$5151637957284\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

Lluosi 0 a 1 i gael 0.

$$5151637957284\left(a^{2}-0a\right)=231\times 10^{6}$$

Mae lluosi unrhyw beth â sero yn rhoi sero.

$$5151637957284\left(a^{2}-0\right)=231\times 10^{6}$$

Cyfrifo 10 i bŵer 6 a chael 1000000.

$$5151637957284\left(a^{2}-0\right)=231\times 1000000$$

Lluosi 231 a 1000000 i gael 231000000.

$$5151637957284\left(a^{2}-0\right)=231000000$$

Rhannu’r ddwy ochr â 5151637957284.

$$a^{2}-0=\frac{231000000}{5151637957284}$$

Lleihau'r ffracsiwn \frac{231000000}{5151637957284} i'r graddau lleiaf posib drwy dynnu a chanslo allan 84.

$$a^{2}-0=\frac{2750000}{61329023301}$$

Aildrefnu'r termau.

$$a^{2}=\frac{2750000}{61329023301}$$

Cymryd isradd dwy ochr yr hafaliad.

$$a=\frac{500\sqrt{231}}{1134861} a=-\frac{500\sqrt{231}}{1134861}$$

Camau gan Ddefnyddio’r Fformiwla Cwadratig

Lluosi 8314 a 273 i gael 2269722.

$$2269722^{2}\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

Cyfrifo 2269722 i bŵer 2 a chael 5151637957284.

$$5151637957284\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

Lluosi 0 a 1 i gael 0.

$$5151637957284\left(a^{2}-0a\right)=231\times 10^{6}$$

Mae lluosi unrhyw beth â sero yn rhoi sero.

$$5151637957284\left(a^{2}-0\right)=231\times 10^{6}$$

Cyfrifo 10 i bŵer 6 a chael 1000000.

$$5151637957284\left(a^{2}-0\right)=231\times 1000000$$

Lluosi 231 a 1000000 i gael 231000000.

$$5151637957284\left(a^{2}-0\right)=231000000$$

Tynnu 231000000 o'r ddwy ochr.

$$5151637957284\left(a^{2}-0\right)-231000000=0$$

Aildrefnu'r termau.

$$5151637957284a^{2}-231000000=0$$

Mae’r hafaliad hwn yn y ffurf safonol: ax^{2}+bx+c=0. Amnewidiwch 5151637957284 am a, 0 am b, a -231000000 am c yn y fformiwla gwadratig, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$a=\frac{0±\sqrt{0^{2}-4\times 5151637957284\left(-231000000\right)}}{2\times 5151637957284}$$

Sgwâr 0.

$$a=\frac{0±\sqrt{-4\times 5151637957284\left(-231000000\right)}}{2\times 5151637957284}$$

Lluoswch -4 â 5151637957284.

$$a=\frac{0±\sqrt{-20606551829136\left(-231000000\right)}}{2\times 5151637957284}$$

Lluoswch -20606551829136 â -231000000.

$$a=\frac{0±\sqrt{4760113472530416000000}}{2\times 5151637957284}$$

Cymryd isradd 4760113472530416000000.

$$a=\frac{0±4539444000\sqrt{231}}{2\times 5151637957284}$$

Lluoswch 2 â 5151637957284.

$$a=\frac{0±4539444000\sqrt{231}}{10303275914568}$$

Datryswch yr hafaliad a=\frac{0±4539444000\sqrt{231}}{10303275914568} pan fydd ± yn plws.

$$a=\frac{500\sqrt{231}}{1134861}$$

Datryswch yr hafaliad a=\frac{0±4539444000\sqrt{231}}{10303275914568} pan fydd ± yn minws.

$$a=-\frac{500\sqrt{231}}{1134861}$$

Mae’r hafaliad wedi’i ddatrys nawr.

$$a=\frac{500\sqrt{231}}{1134861} a=-\frac{500\sqrt{231}}{1134861}$$