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

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

Solvi għal r

$$r=-2400\sqrt{15}i\approx -0-9295.160030898i$$

$$r=2400\sqrt{15}i\approx 9295.160030898i$$

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}.

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

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 9 u 6 biex tikseb 15.

$$5\times 10^{3}r^{2}=9\times 10^{15}\times 8\left(-6\right)\times 10^{-6}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 15 u -6 biex tikseb 9.

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

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

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

Immultiplika 5 u 1000 biex tikseb 5000.

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

Ikkalkula 10 bil-power ta' 9 u tikseb 1000000000.

$$5000r^{2}=9\times 1000000000\times 8\left(-6\right)$$

Immultiplika 9 u 1000000000 biex tikseb 9000000000.

$$5000r^{2}=9000000000\times 8\left(-6\right)$$

Immultiplika 9000000000 u 8 biex tikseb 72000000000.

$$5000r^{2}=72000000000\left(-6\right)$$

Immultiplika 72000000000 u -6 biex tikseb -432000000000.

$$5000r^{2}=-432000000000$$

Iddividi ż-żewġ naħat b'5000.

$$r^{2}=\frac{-432000000000}{5000}$$

Iddividi -432000000000 b'5000 biex tikseb-86400000.

$$r^{2}=-86400000$$

L-ekwazzjoni issa solvuta.

$$r=2400\sqrt{15}i r=-2400\sqrt{15}i$$

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}.

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

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 9 u 6 biex tikseb 15.

$$5\times 10^{3}r^{2}=9\times 10^{15}\times 8\left(-6\right)\times 10^{-6}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 15 u -6 biex tikseb 9.

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

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

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

Immultiplika 5 u 1000 biex tikseb 5000.

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

Ikkalkula 10 bil-power ta' 9 u tikseb 1000000000.

$$5000r^{2}=9\times 1000000000\times 8\left(-6\right)$$

Immultiplika 9 u 1000000000 biex tikseb 9000000000.

$$5000r^{2}=9000000000\times 8\left(-6\right)$$

Immultiplika 9000000000 u 8 biex tikseb 72000000000.

$$5000r^{2}=72000000000\left(-6\right)$$

Immultiplika 72000000000 u -6 biex tikseb -432000000000.

$$5000r^{2}=-432000000000$$

Żid 432000000000 maż-żewġ naħat.

$$5000r^{2}[phone]=0$$

Din l-ekwazzjoni hija fil-forma standard: ax^{2}+bx+c=0. Issostitwixxi 5000 għal a, 0 għal b, u 432000000000 għal c fil-formula kwadratika, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$r=\frac{0±\sqrt{0^{2}-4\times 5000\times 432000000000}}{2\times 5000}$$

Ikkwadra 0.

$$r=\frac{0±\sqrt{-4\times 5000\times 432000000000}}{2\times 5000}$$

Immultiplika -4 b'5000.

$$r=\frac{0±\sqrt{-20000\times 432000000000}}{2\times 5000}$$

Immultiplika -20000 b'432000000000.

$$r=\frac{0±\sqrt{-8640000000000000}}{2\times 5000}$$

Ħu l-għerq kwadrat ta' -8640000000000000.

$$r=\frac{0±24000000\sqrt{15}i}{2\times 5000}$$

Immultiplika 2 b'5000.

$$r=\frac{0±24000000\sqrt{15}i}{10000}$$

Issa solvi l-ekwazzjoni r=\frac{0±24000000\sqrt{15}i}{10000} fejn ± hija plus.

$$r=2400\sqrt{15}i$$

Issa solvi l-ekwazzjoni r=\frac{0±24000000\sqrt{15}i}{10000} fejn ± hija minus.

$$r=-2400\sqrt{15}i$$

L-ekwazzjoni issa solvuta.

$$r=2400\sqrt{15}i r=-2400\sqrt{15}i$$