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

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

Leystu fyrir r

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

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

Skref fyrir útreikning kvaðratrótar

Breytan r getur ekki verið jöfn 0, þar sem deiling með núlli hefur ekki verið skilgreind. Margfaldaðu báðar hliðar jöfnunnar með r^{2}.

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

Leggðu saman veldisvísa velda með sama stofn til að margfalda þá. Leggðu saman 9 og 66 til að fá 75.

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

Leggðu saman veldisvísa velda með sama stofn til að margfalda þá. Leggðu saman 75 og -6 til að fá 69.

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

Reiknaðu 10 í 3. veldi og fáðu 1000.

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

Margfaldaðu 50 og 1000 til að fá út 50000.

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

Reiknaðu 10 í 69. veldi og fáðu 1000000000000000000000000000000000000000000000000000000000000000000000.

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

Margfaldaðu 9 og 1000000000000000000000000000000000000000000000000000000000000000000000 til að fá út 9000000000000000000000000000000000000000000000000000000000000000000000.

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

Margfaldaðu 9000000000000000000000000000000000000000000000000000000000000000000000 og 80 til að fá út 720000000000000000000000000000000000000000000000000000000000000000000000.

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

Margfaldaðu 720000000000000000000000000000000000000000000000000000000000000000000000 og -6 til að fá út -4320000000000000000000000000000000000000000000000000000000000000000000000.

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

Deildu báðum hliðum með 50000.

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

Deildu -4320000000000000000000000000000000000000000000000000000000000000000000000 með 50000 til að fá -86400000000000000000000000000000000000000000000000000000000000000000.

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

Leyst var úr jöfnunni.

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

Skref með annars stigs formúlu

Breytan r getur ekki verið jöfn 0, þar sem deiling með núlli hefur ekki verið skilgreind. Margfaldaðu báðar hliðar jöfnunnar með r^{2}.

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

Leggðu saman veldisvísa velda með sama stofn til að margfalda þá. Leggðu saman 9 og 66 til að fá 75.

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

Leggðu saman veldisvísa velda með sama stofn til að margfalda þá. Leggðu saman 75 og -6 til að fá 69.

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

Reiknaðu 10 í 3. veldi og fáðu 1000.

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

Margfaldaðu 50 og 1000 til að fá út 50000.

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

Reiknaðu 10 í 69. veldi og fáðu 1000000000000000000000000000000000000000000000000000000000000000000000.

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

Margfaldaðu 9 og 1000000000000000000000000000000000000000000000000000000000000000000000 til að fá út 9000000000000000000000000000000000000000000000000000000000000000000000.

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

Margfaldaðu 9000000000000000000000000000000000000000000000000000000000000000000000 og 80 til að fá út 720000000000000000000000000000000000000000000000000000000000000000000000.

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

Margfaldaðu 720000000000000000000000000000000000000000000000000000000000000000000000 og -6 til að fá út -4320000000000000000000000000000000000000000000000000000000000000000000000.

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

Bættu 4320000000000000000000000000000000000000000000000000000000000000000000000 við báðar hliðar.

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

Jafnan er í staðalformi: ax^{2}+bx+c=0. Settu 50000 inn fyrir a, 0 inn fyrir b og 4320000000000000000000000000000000000000000000000000000000000000000000000 inn fyrir c í annars stigs formúlunni \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

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

Hefðu 0 í annað veldi.

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

Margfaldaðu -4 sinnum 50000.

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

Margfaldaðu -200000 sinnum 4320000000000000000000000000000000000000000000000000000000000000000000000.

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

Finndu kvaðratrót -864000000000000000000000000000000000000000000000000000000000000000000000000000.

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

Margfaldaðu 2 sinnum 50000.

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

Leystu nú jöfnuna r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} þegar ± er plús.

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

Leystu nú jöfnuna r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} þegar ± er mínus.

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

Leyst var úr jöfnunni.

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