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

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

I-solve ang r

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

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

Mga Hakbang sa pamamagitan ng Paghahanap ng Square Root

Ang variable r ay hindi katumbas ng 0 dahil hindi tukoy ang division by zero. I-multiply ang magkabilang dulo ng equation gamit ang r^{2}.

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

Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang 9 at 66 para makuha ang 75.

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

Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang 75 at -6 para makuha ang 69.

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

Kalkulahin ang 10 sa power ng 3 at kunin ang 1000.

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

I-multiply ang 50 at 1000 para makuha ang 50000.

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

Kalkulahin ang 10 sa power ng 69 at kunin ang 1000000000000000000000000000000000000000000000000000000000000000000000.

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

I-multiply ang 9 at 1000000000000000000000000000000000000000000000000000000000000000000000 para makuha ang 9000000000000000000000000000000000000000000000000000000000000000000000.

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

I-multiply ang 9000000000000000000000000000000000000000000000000000000000000000000000 at 80 para makuha ang 720000000000000000000000000000000000000000000000000000000000000000000000.

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

I-multiply ang 720000000000000000000000000000000000000000000000000000000000000000000000 at -6 para makuha ang -4320000000000000000000000000000000000000000000000000000000000000000000000.

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

I-divide ang magkabilang dulo ng equation gamit ang 50000.

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

I-divide ang -4320000000000000000000000000000000000000000000000000000000000000000000000 gamit ang 50000 para makuha ang -86400000000000000000000000000000000000000000000000000000000000000000.

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

Nalutas na ang equation.

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

Mga Hakbang sa Paggamit ng Quadratic Formula

Ang variable r ay hindi katumbas ng 0 dahil hindi tukoy ang division by zero. I-multiply ang magkabilang dulo ng equation gamit ang r^{2}.

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

Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang 9 at 66 para makuha ang 75.

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

Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang 75 at -6 para makuha ang 69.

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

Kalkulahin ang 10 sa power ng 3 at kunin ang 1000.

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

I-multiply ang 50 at 1000 para makuha ang 50000.

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

Kalkulahin ang 10 sa power ng 69 at kunin ang 1000000000000000000000000000000000000000000000000000000000000000000000.

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

I-multiply ang 9 at 1000000000000000000000000000000000000000000000000000000000000000000000 para makuha ang 9000000000000000000000000000000000000000000000000000000000000000000000.

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

I-multiply ang 9000000000000000000000000000000000000000000000000000000000000000000000 at 80 para makuha ang 720000000000000000000000000000000000000000000000000000000000000000000000.

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

I-multiply ang 720000000000000000000000000000000000000000000000000000000000000000000000 at -6 para makuha ang -4320000000000000000000000000000000000000000000000000000000000000000000000.

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

Idagdag ang 4320000000000000000000000000000000000000000000000000000000000000000000000 sa parehong bahagi.

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

Ang equation ay nasa standard form: ax^{2}+bx+c=0. I-substitute ang 50000 para sa a, 0 para sa b, at 4320000000000000000000000000000000000000000000000000000000000000000000000 para sa c sa quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

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

I-square ang 0.

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

I-multiply ang -4 times 50000.

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

I-multiply ang -200000 times 4320000000000000000000000000000000000000000000000000000000000000000000000.

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

Kunin ang square root ng -864000000000000000000000000000000000000000000000000000000000000000000000000000.

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

I-multiply ang 2 times 50000.

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

Ngayon, lutasin ang equation na r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} kapag ang ± ay plus.

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

Ngayon, lutasin ang equation na r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} kapag ang ± ay minus.

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

Nalutas na ang equation.

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