Lutasin ang 5.0*10^{3}=(9*10^9)(8.0*10^66)(-6*10^-6)/r^2

$$5.0 \times 10 ^ { 3 } = \frac { ( 9 \times 10 ^ { 9 } ) ( 8.0 \times 10 ^ { 66 } ) ( - 6 \times 10 ^ { - 6 } ) } { r ^ { 2 } }$$

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}.

$$5\times 10^{3}r^{2}=9\times 10^{9}\times 8\times 10^{66}\left(-6\right)\times 10^{-6}$$

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.

$$5\times 10^{3}r^{2}=9\times 10^{75}\times 8\left(-6\right)\times 10^{-6}$$

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.

$$5\times 10^{3}r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

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

$$5\times 1000r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

I-multiply ang 5 at 1000 para makuha ang 5000.

$$5000r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

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

$$5000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)$$

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

$$5000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)$$

I-multiply ang 9000000000000000000000000000000000000000000000000000000000000000000000 at 8 para makuha ang 72000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=72000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)$$

I-multiply ang 72000000000000000000000000000000000000000000000000000000000000000000000 at -6 para makuha ang -432000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=-432000000000000000000000000000000000000000000000000000000000000000000000$$

I-divide ang magkabilang dulo ng equation gamit ang 5000.

$$r^{2}=\frac{-432000000000000000000000000000000000000000000000000000000000000000000000}{5000}$$

I-divide ang -432000000000000000000000000000000000000000000000000000000000000000000000 gamit ang 5000 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}.

$$5\times 10^{3}r^{2}=9\times 10^{9}\times 8\times 10^{66}\left(-6\right)\times 10^{-6}$$

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.

$$5\times 10^{3}r^{2}=9\times 10^{75}\times 8\left(-6\right)\times 10^{-6}$$

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.

$$5\times 10^{3}r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

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

$$5\times 1000r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

I-multiply ang 5 at 1000 para makuha ang 5000.

$$5000r^{2}=9\times 10^{69}\times 8\left(-6\right)$$

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

$$5000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)$$

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

$$5000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)$$

I-multiply ang 9000000000000000000000000000000000000000000000000000000000000000000000 at 8 para makuha ang 72000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=72000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)$$

I-multiply ang 72000000000000000000000000000000000000000000000000000000000000000000000 at -6 para makuha ang -432000000000000000000000000000000000000000000000000000000000000000000000.

$$5000r^{2}=-432000000000000000000000000000000000000000000000000000000000000000000000$$

Idagdag ang 432000000000000000000000000000000000000000000000000000000000000000000000 sa parehong bahagi.

$$5000r^{2}+432000000000000000000000000000000000000000000000000000000000000000000000=0$$

Ang equation ay nasa standard form: ax^{2}+bx+c=0. I-substitute ang 5000 para sa a, 0 para sa b, at 432000000000000000000000000000000000000000000000000000000000000000000000 para sa c sa quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$r=\frac{0±\sqrt{0^{2}-4\times 5000\times 432000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}$$

I-square ang 0.

$$r=\frac{0±\sqrt{-4\times 5000\times 432000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}$$

I-multiply ang -4 times 5000.

$$r=\frac{0±\sqrt{-20000\times 432000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}$$

I-multiply ang -20000 times 432000000000000000000000000000000000000000000000000000000000000000000000.

$$r=\frac{0±\sqrt{-8640000000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}$$

Kunin ang square root ng -8640000000000000000000000000000000000000000000000000000000000000000000000000.

$$r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{2\times 5000}$$

I-multiply ang 2 times 5000.

$$r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{10000}$$

Ngayon, lutasin ang equation na r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{10000} kapag ang ± ay plus.

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

Ngayon, lutasin ang equation na r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{10000} kapag ang ± ay minus.

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

Nalutas na ang equation.

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