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

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

Solvi għal r

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

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

Passi billi Ssib l-Għerq Kwadrat

Il-varjabbli r ma jistax ikun ugwali għal 0 billi d-diviżjoni b'żero mhux iddefinit. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'r^{2}.

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

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 9 u 66 biex tikseb 75.

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

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 75 u -6 biex tikseb 69.

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

Ikkalkula 10 bil-power ta' 3 u tikseb 1000.

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

Immultiplika 50 u 1000 biex tikseb 50000.

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

Ikkalkula 10 bil-power ta' 69 u tikseb 1000000000000000000000000000000000000000000000000000000000000000000000.

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

Immultiplika 9 u 1000000000000000000000000000000000000000000000000000000000000000000000 biex tikseb 9000000000000000000000000000000000000000000000000000000000000000000000.

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

Immultiplika 9000000000000000000000000000000000000000000000000000000000000000000000 u 80 biex tikseb 720000000000000000000000000000000000000000000000000000000000000000000000.

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

Immultiplika 720000000000000000000000000000000000000000000000000000000000000000000000 u -6 biex tikseb -4320000000000000000000000000000000000000000000000000000000000000000000000.

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

Iddividi ż-żewġ naħat b'50000.

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

Iddividi -4320000000000000000000000000000000000000000000000000000000000000000000000 b'50000 biex tikseb-86400000000000000000000000000000000000000000000000000000000000000000.

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

L-ekwazzjoni issa solvuta.

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

Passi għall-Użu tal-Formula Kwadratika

Il-varjabbli r ma jistax ikun ugwali għal 0 billi d-diviżjoni b'żero mhux iddefinit. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'r^{2}.

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

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 9 u 66 biex tikseb 75.

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

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 75 u -6 biex tikseb 69.

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

Ikkalkula 10 bil-power ta' 3 u tikseb 1000.

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

Immultiplika 50 u 1000 biex tikseb 50000.

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

Ikkalkula 10 bil-power ta' 69 u tikseb 1000000000000000000000000000000000000000000000000000000000000000000000.

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

Immultiplika 9 u 1000000000000000000000000000000000000000000000000000000000000000000000 biex tikseb 9000000000000000000000000000000000000000000000000000000000000000000000.

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

Immultiplika 9000000000000000000000000000000000000000000000000000000000000000000000 u 80 biex tikseb 720000000000000000000000000000000000000000000000000000000000000000000000.

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

Immultiplika 720000000000000000000000000000000000000000000000000000000000000000000000 u -6 biex tikseb -4320000000000000000000000000000000000000000000000000000000000000000000000.

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

Żid 4320000000000000000000000000000000000000000000000000000000000000000000000 maż-żewġ naħat.

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

Din l-ekwazzjoni hija fil-forma standard: ax^{2}+bx+c=0. Issostitwixxi 50000 għal a, 0 għal b, u 4320000000000000000000000000000000000000000000000000000000000000000000000 għal c fil-formula kwadratika, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

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

Ikkwadra 0.

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

Immultiplika -4 b'50000.

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

Immultiplika -200000 b'4320000000000000000000000000000000000000000000000000000000000000000000000.

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

Ħu l-għerq kwadrat ta' -864000000000000000000000000000000000000000000000000000000000000000000000000000.

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

Immultiplika 2 b'50000.

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

Issa solvi l-ekwazzjoni r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} fejn ± hija plus.

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

Issa solvi l-ekwazzjoni r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} fejn ± hija minus.

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

L-ekwazzjoni issa solvuta.

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