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

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

Ebatzi: r

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

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

Erro karratua bilatzeko urratsak

r aldagaia eta 0 ezin dira izan berdinak, zerorekin zatitzea ez dagoelako definituta. Biderkatu ekuazioaren bi aldeak honekin: r^{2}.

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

Berrekizun bereko berreturak biderkatzeko, gehitu haien berretzaileak. 75 lortzeko, gehitu 9 eta 66.

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

Berrekizun bereko berreturak biderkatzeko, gehitu haien berretzaileak. 69 lortzeko, gehitu 75 eta -6.

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

1000 lortzeko, egin 10 ber 3.

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

50000 lortzeko, biderkatu 50 eta 1000.

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

1000000000000000000000000000000000000000000000000000000000000000000000 lortzeko, egin 10 ber 69.

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

9000000000000000000000000000000000000000000000000000000000000000000000 lortzeko, biderkatu 9 eta 1000000000000000000000000000000000000000000000000000000000000000000000.

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

720000000000000000000000000000000000000000000000000000000000000000000000 lortzeko, biderkatu 9000000000000000000000000000000000000000000000000000000000000000000000 eta 80.

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

-4320000000000000000000000000000000000000000000000000000000000000000000000 lortzeko, biderkatu 720000000000000000000000000000000000000000000000000000000000000000000000 eta -6.

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

Zatitu ekuazioaren bi aldeak 50000 balioarekin.

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

-86400000000000000000000000000000000000000000000000000000000000000000 lortzeko, zatitu -4320000000000000000000000000000000000000000000000000000000000000000000000 50000 balioarekin.

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

Ebatzi da ekuazioa.

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

Formula koadratikoaren bidezko ebazpidea

r aldagaia eta 0 ezin dira izan berdinak, zerorekin zatitzea ez dagoelako definituta. Biderkatu ekuazioaren bi aldeak honekin: r^{2}.

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

Berrekizun bereko berreturak biderkatzeko, gehitu haien berretzaileak. 75 lortzeko, gehitu 9 eta 66.

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

Berrekizun bereko berreturak biderkatzeko, gehitu haien berretzaileak. 69 lortzeko, gehitu 75 eta -6.

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

1000 lortzeko, egin 10 ber 3.

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

50000 lortzeko, biderkatu 50 eta 1000.

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

1000000000000000000000000000000000000000000000000000000000000000000000 lortzeko, egin 10 ber 69.

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

9000000000000000000000000000000000000000000000000000000000000000000000 lortzeko, biderkatu 9 eta 1000000000000000000000000000000000000000000000000000000000000000000000.

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

720000000000000000000000000000000000000000000000000000000000000000000000 lortzeko, biderkatu 9000000000000000000000000000000000000000000000000000000000000000000000 eta 80.

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

-4320000000000000000000000000000000000000000000000000000000000000000000000 lortzeko, biderkatu 720000000000000000000000000000000000000000000000000000000000000000000000 eta -6.

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

Gehitu 4320000000000000000000000000000000000000000000000000000000000000000000000 bi aldeetan.

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

Estandarra da ekuazioaren forma: ax^{2}+bx+c=0. Ordeztu 50000 balioa a balioarekin, 0 balioa b balioarekin, eta 4320000000000000000000000000000000000000000000000000000000000000000000000 balioa c balioarekin formula koadratikoan (\frac{-b±\sqrt{b^{2}-4ac}}{2a}).

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

Egin 0 ber bi.

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

Egin -4 bider 50000.

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

Egin -200000 bider 4320000000000000000000000000000000000000000000000000000000000000000000000.

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

Atera -864000000000000000000000000000000000000000000000000000000000000000000000000000 balioaren erro karratua.

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

Egin 2 bider 50000.

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

Orain, ebatzi r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} ekuazioa ± plus denean.

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

Orain, ebatzi r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} ekuazioa ± minus denean.

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

Ebatzi da ekuazioa.

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