Løs for 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
Aksje
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50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{66}\left(-6\right)\times 10^{-6}
Variabelen r kan ikke være lik 0 siden divisjon med null ikke er definert. Multipliser begge sider av ligningen med r^{2}.
50\times 10^{3}r^{2}=9\times 10^{75}\times 80\left(-6\right)\times 10^{-6}
For å multiplisere potensene av det samme grunntallet, må du legge til eksponentene deres. Legg til 9 og 66 for å få 75.
50\times 10^{3}r^{2}=9\times 10^{69}\times 80\left(-6\right)
For å multiplisere potensene av det samme grunntallet, må du legge til eksponentene deres. Legg til 75 og -6 for å få 69.
50\times 1000r^{2}=9\times 10^{69}\times 80\left(-6\right)
Regn ut 10 opphøyd i 3 og få 1000.
50000r^{2}=9\times 10^{69}\times 80\left(-6\right)
Multipliser 50 med 1000 for å få 50000.
50000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)
Regn ut 10 opphøyd i 69 og få 1000000000000000000000000000000000000000000000000000000000000000000000.
50000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)
Multipliser 9 med 1000000000000000000000000000000000000000000000000000000000000000000000 for å få 9000000000000000000000000000000000000000000000000000000000000000000000.
50000r^{2}=720000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)
Multipliser 9000000000000000000000000000000000000000000000000000000000000000000000 med 80 for å få 720000000000000000000000000000000000000000000000000000000000000000000000.
50000r^{2}=-4320000000000000000000000000000000000000000000000000000000000000000000000
Multipliser 720000000000000000000000000000000000000000000000000000000000000000000000 med -6 for å få -4320000000000000000000000000000000000000000000000000000000000000000000000.
r^{2}=\frac{-4320000000000000000000000000000000000000000000000000000000000000000000000}{50000}
Del begge sidene på 50000.
r^{2}=-86400000000000000000000000000000000000000000000000000000000000000000
Del -4320000000000000000000000000000000000000000000000000000000000000000000000 på 50000 for å få -86400000000000000000000000000000000000000000000000000000000000000000.
r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i
Ligningen er nå løst.
50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{66}\left(-6\right)\times 10^{-6}
Variabelen r kan ikke være lik 0 siden divisjon med null ikke er definert. Multipliser begge sider av ligningen med r^{2}.
50\times 10^{3}r^{2}=9\times 10^{75}\times 80\left(-6\right)\times 10^{-6}
For å multiplisere potensene av det samme grunntallet, må du legge til eksponentene deres. Legg til 9 og 66 for å få 75.
50\times 10^{3}r^{2}=9\times 10^{69}\times 80\left(-6\right)
For å multiplisere potensene av det samme grunntallet, må du legge til eksponentene deres. Legg til 75 og -6 for å få 69.
50\times 1000r^{2}=9\times 10^{69}\times 80\left(-6\right)
Regn ut 10 opphøyd i 3 og få 1000.
50000r^{2}=9\times 10^{69}\times 80\left(-6\right)
Multipliser 50 med 1000 for å få 50000.
50000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)
Regn ut 10 opphøyd i 69 og få 1000000000000000000000000000000000000000000000000000000000000000000000.
50000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)
Multipliser 9 med 1000000000000000000000000000000000000000000000000000000000000000000000 for å få 9000000000000000000000000000000000000000000000000000000000000000000000.
50000r^{2}=720000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)
Multipliser 9000000000000000000000000000000000000000000000000000000000000000000000 med 80 for å få 720000000000000000000000000000000000000000000000000000000000000000000000.
50000r^{2}=-4320000000000000000000000000000000000000000000000000000000000000000000000
Multipliser 720000000000000000000000000000000000000000000000000000000000000000000000 med -6 for å få -4320000000000000000000000000000000000000000000000000000000000000000000000.
50000r^{2}+4320000000000000000000000000000000000000000000000000000000000000000000000=0
Legg til 4320000000000000000000000000000000000000000000000000000000000000000000000 på begge sider.
r=\frac{0±\sqrt{0^{2}-4\times 50000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}
Denne ligningen er i standard form: ax^{2}+bx+c=0. Sett inn 50000 for a, 0 for b og 4320000000000000000000000000000000000000000000000000000000000000000000000 for c i andregradsformelen, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
r=\frac{0±\sqrt{-4\times 50000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}
Kvadrer 0.
r=\frac{0±\sqrt{-200000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}
Multipliser -4 ganger 50000.
r=\frac{0±\sqrt{-864000000000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}
Multipliser -200000 ganger 4320000000000000000000000000000000000000000000000000000000000000000000000.
r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{2\times 50000}
Ta kvadratroten av -864000000000000000000000000000000000000000000000000000000000000000000000000000.
r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000}
Multipliser 2 ganger 50000.
r=2400000000000000000000000000000000\sqrt{15}i
Nå kan du løse formelen r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} når ± er pluss.
r=-2400000000000000000000000000000000\sqrt{15}i
Nå kan du løse formelen r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} når ± er minus.
r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i
Ligningen er nå løst.
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