Réitigh 50*10^{3}=(9*10^9)(80*10^66)(-6*10^-6)/r^2

$$50 \times 10 ^ { 3 } = \frac { ( 9 \times 10 ^ { 9 } ) ( 80 \times 10 ^ { 66 } ) ( - 6 \times 10 ^ { - 6 } ) } { r ^ { 2 } }$$

Réitigh do r.

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

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

Céimeanna tríd an bhFréamh Chearnach a Fháil

Ní féidir leis an athróg r a bheith comhionann le 0 toisc nach bhfuil an roinnt faoi nialas sainithe. Méadaigh an dá thaobh den chothromóid faoi r^{2}.

$$50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{66}\left(-6\right)\times 10^{-6}$$

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh 9 agus 66 chun 75 a bhaint amach.

$$50\times 10^{3}r^{2}=9\times 10^{75}\times 80\left(-6\right)\times 10^{-6}$$

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh 75 agus -6 chun 69 a bhaint amach.

$$50\times 10^{3}r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Ríomh cumhacht 10 de 3 agus faigh 1000.

$$50\times 1000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Méadaigh 50 agus 1000 chun 50000 a fháil.

$$50000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Ríomh cumhacht 10 de 69 agus faigh 1000000000000000000000000000000000000000000000000000000000000000000000.

$$50000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

Méadaigh 9 agus 1000000000000000000000000000000000000000000000000000000000000000000000 chun 9000000000000000000000000000000000000000000000000000000000000000000000 a fháil.

$$50000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

Méadaigh 9000000000000000000000000000000000000000000000000000000000000000000000 agus 80 chun 720000000000000000000000000000000000000000000000000000000000000000000000 a fháil.

$$50000r^{2}=720000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)$$

Méadaigh 720000000000000000000000000000000000000000000000000000000000000000000000 agus -6 chun -4320000000000000000000000000000000000000000000000000000000000000000000000 a fháil.

$$50000r^{2}=-4320000000000000000000000000000000000000000000000000000000000000000000000$$

Roinn an dá thaobh faoi 50000.

$$r^{2}=\frac{-4320000000000000000000000000000000000000000000000000000000000000000000000}{50000}$$

Roinn -4320000000000000000000000000000000000000000000000000000000000000000000000 faoi 50000 chun -86400000000000000000000000000000000000000000000000000000000000000000 a fháil.

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

Tá an chothromóid réitithe anois.

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

Céimeanna ag Baint Úsáid as an bhFoirmle Chearnach

Ní féidir leis an athróg r a bheith comhionann le 0 toisc nach bhfuil an roinnt faoi nialas sainithe. Méadaigh an dá thaobh den chothromóid faoi r^{2}.

$$50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{66}\left(-6\right)\times 10^{-6}$$

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh 9 agus 66 chun 75 a bhaint amach.

$$50\times 10^{3}r^{2}=9\times 10^{75}\times 80\left(-6\right)\times 10^{-6}$$

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh 75 agus -6 chun 69 a bhaint amach.

$$50\times 10^{3}r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Ríomh cumhacht 10 de 3 agus faigh 1000.

$$50\times 1000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Méadaigh 50 agus 1000 chun 50000 a fháil.

$$50000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Ríomh cumhacht 10 de 69 agus faigh 1000000000000000000000000000000000000000000000000000000000000000000000.

$$50000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

Méadaigh 9 agus 1000000000000000000000000000000000000000000000000000000000000000000000 chun 9000000000000000000000000000000000000000000000000000000000000000000000 a fháil.

$$50000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

Méadaigh 9000000000000000000000000000000000000000000000000000000000000000000000 agus 80 chun 720000000000000000000000000000000000000000000000000000000000000000000000 a fháil.

$$50000r^{2}=720000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)$$

Méadaigh 720000000000000000000000000000000000000000000000000000000000000000000000 agus -6 chun -4320000000000000000000000000000000000000000000000000000000000000000000000 a fháil.

$$50000r^{2}=-4320000000000000000000000000000000000000000000000000000000000000000000000$$

Cuir 4320000000000000000000000000000000000000000000000000000000000000000000000 leis an dá thaobh.

$$50000r^{2}+4320000000000000000000000000000000000000000000000000000000000000000000000=0$$

Tá an chothromóid seo i bhfoirm chaighdeánach: ax^{2}+bx+c=0. Cuir 50000 in ionad a, 0 in ionad b, agus 4320000000000000000000000000000000000000000000000000000000000000000000000 in ionad c san fhoirmle chearnach, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$r=\frac{0±\sqrt{0^{2}-4\times 50000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

Cearnóg 0.

$$r=\frac{0±\sqrt{-4\times 50000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

Méadaigh -4 faoi 50000.

$$r=\frac{0±\sqrt{-200000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

Méadaigh -200000 faoi 4320000000000000000000000000000000000000000000000000000000000000000000000.

$$r=\frac{0±\sqrt{-864000000000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

Tóg fréamh chearnach -864000000000000000000000000000000000000000000000000000000000000000000000000000.

$$r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{2\times 50000}$$

Méadaigh 2 faoi 50000.

$$r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000}$$

Réitigh an chothromóid r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} nuair is ionann ± agus plus.

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

Réitigh an chothromóid r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} nuair is ionann ± agus míneas.

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

Tá an chothromóid réitithe anois.

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