Datrys 5.0*10^{3}=(9*10^9)(8.0*10^66)(-6*10^-6)/r^2

$$5.0 \times 10 ^ { 3 } = \frac { ( 9 \times 10 ^ { 9 } ) ( 8.0 \times 10 ^ { 66 } ) ( - 6 \times 10 ^ { - 6 } ) } { r ^ { 2 } }$$

Datrys ar gyfer r

$$r=-2400000000000000000000000000000000\sqrt{15}i\approx -0-9.295160031 \cdot 10^{33}i$$

$$r=2400000000000000000000000000000000\sqrt{15}i\approx 9.295160031 \cdot 10^{33}i$$

Camau drwy Ganfod Isradd

All y newidyn r ddim fod yn hafal i 0 gan nad ydy rhannu â sero wedi’i ddiffinio. Lluoswch ddwy ochr yr hafaliad â r^{2}.

$$5\times 10^{3}r^{2}=9\times 10^{9}\times 8\times 10^{66}\left(-6\right)\times 10^{-6}$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 9 a 66 i gael 75.

$$5\times 10^{3}r^{2}=9\times 10^{75}\times 8\left(-6\right)\times 10^{-6}$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 75 a -6 i gael 69.

$$5\times 10^{3}r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

Cyfrifo 10 i bŵer 3 a chael 1000.

$$5\times 1000r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

Lluosi 5 a 1000 i gael 5000.

$$5000r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

Cyfrifo 10 i bŵer 69 a chael 1000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)$$

Lluosi 9 a 1000000000000000000000000000000000000000000000000000000000000000000000 i gael 9000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)$$

Lluosi 9000000000000000000000000000000000000000000000000000000000000000000000 a 8 i gael 72000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=72000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)$$

Lluosi 72000000000000000000000000000000000000000000000000000000000000000000000 a -6 i gael -432000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=-432000000000000000000000000000000000000000000000000000000000000000000000$$

Rhannu’r ddwy ochr â 5000.

$$r^{2}=\frac{-432000000000000000000000000000000000000000000000000000000000000000000000}{5000}$$

Rhannu -432000000000000000000000000000000000000000000000000000000000000000000000 â 5000 i gael -86400000000000000000000000000000000000000000000000000000000000000000.

$$r^{2}=-86400000000000000000000000000000000000000000000000000000000000000000$$

Mae’r hafaliad wedi’i ddatrys nawr.

$$r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i$$

Camau gan Ddefnyddio’r Fformiwla Cwadratig

All y newidyn r ddim fod yn hafal i 0 gan nad ydy rhannu â sero wedi’i ddiffinio. Lluoswch ddwy ochr yr hafaliad â r^{2}.

$$5\times 10^{3}r^{2}=9\times 10^{9}\times 8\times 10^{66}\left(-6\right)\times 10^{-6}$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 9 a 66 i gael 75.

$$5\times 10^{3}r^{2}=9\times 10^{75}\times 8\left(-6\right)\times 10^{-6}$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 75 a -6 i gael 69.

$$5\times 10^{3}r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

Cyfrifo 10 i bŵer 3 a chael 1000.

$$5\times 1000r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

Lluosi 5 a 1000 i gael 5000.

$$5000r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

Cyfrifo 10 i bŵer 69 a chael 1000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)$$

Lluosi 9 a 1000000000000000000000000000000000000000000000000000000000000000000000 i gael 9000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)$$

Lluosi 9000000000000000000000000000000000000000000000000000000000000000000000 a 8 i gael 72000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=72000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)$$

Lluosi 72000000000000000000000000000000000000000000000000000000000000000000000 a -6 i gael -432000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=-432000000000000000000000000000000000000000000000000000000000000000000000$$

Ychwanegu 432000000000000000000000000000000000000000000000000000000000000000000000 at y ddwy ochr.

$$5000r^{2}+432000000000000000000000000000000000000000000000000000000000000000000000=0$$

Mae’r hafaliad hwn yn y ffurf safonol: ax^{2}+bx+c=0. Amnewidiwch 5000 am a, 0 am b, a 432000000000000000000000000000000000000000000000000000000000000000000000 am c yn y fformiwla gwadratig, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$r=\frac{0±\sqrt{0^{2}-4\times 5000\times 432000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}$$

Sgwâr 0.

$$r=\frac{0±\sqrt{-4\times 5000\times 432000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}$$

Lluoswch -4 â 5000.

$$r=\frac{0±\sqrt{-20000\times 432000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}$$

Lluoswch -20000 â 432000000000000000000000000000000000000000000000000000000000000000000000.

$$r=\frac{0±\sqrt{-8640000000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}$$

Cymryd isradd -8640000000000000000000000000000000000000000000000000000000000000000000000000.

$$r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{2\times 5000}$$

Lluoswch 2 â 5000.

$$r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{10000}$$

Datryswch yr hafaliad r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{10000} pan fydd ± yn plws.

$$r=2400000000000000000000000000000000\sqrt{15}i$$

Datryswch yr hafaliad r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{10000} pan fydd ± yn minws.

$$r=-2400000000000000000000000000000000\sqrt{15}i$$

Mae’r hafaliad wedi’i ddatrys nawr.

$$r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i$$