Issolvi 185*10^6=143*400left(950-x^2/2right)

$$185 \times { 10 }^{ 6 } = 143 \cdot 400 \left( 950- \frac{ { x }^{ 2 } }{ 2 } \right)$$

Solvi għal x (complex solution)

$$x=-\frac{10\sqrt{934219}i}{143}\approx -0-67.590912618i$$

$$x=\frac{10\sqrt{934219}i}{143}\approx 67.590912618i$$

Passi billi Ssib l-Għerq Kwadrat

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'2.

$$370\times 10^{6}=286\times 400\left(950-\frac{x^{2}}{2}\right)$$

Ikkalkula 10 bil-power ta' 6 u tikseb 1000000.

$$370\times 1000000=286\times 400\left(950-\frac{x^{2}}{2}\right)$$

Immultiplika 370 u 1000000 biex tikseb 370000000.

$$370000000=286\times 400\left(950-\frac{x^{2}}{2}\right)$$

Immultiplika 286 u 400 biex tikseb 114400.

$$370000000=114400\left(950-\frac{x^{2}}{2}\right)$$

Uża l-propjetà distributtiva biex timmultiplika 114400 b'950-\frac{x^{2}}{2}.

$$370000000=108680000+114400\left(-\frac{x^{2}}{2}\right)$$

Ikkanċella l-akbar fattur komuni 2 f'114400 u 2.

$$370000000=108680000-57200x^{2}$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$108680000-57200x^{2}=370000000$$

Naqqas 108680000 miż-żewġ naħat.

$$-57200x^{2}=370000000-108680000$$

Naqqas 108680000 minn 370000000 biex tikseb 261320000.

$$-57200x^{2}=261320000$$

Iddividi ż-żewġ naħat b'-57200.

$$x^{2}=\frac{261320000}{-57200}$$

Naqqas il-frazzjoni \frac{261320000}{-57200} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 400.

$$x^{2}=-\frac{653300}{143}$$

L-ekwazzjoni issa solvuta.

$$x=\frac{10\sqrt{934219}i}{143} x=-\frac{10\sqrt{934219}i}{143}$$

Passi għall-Użu tal-Formula Kwadratika

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'2.

$$370\times 10^{6}=286\times 400\left(950-\frac{x^{2}}{2}\right)$$

Ikkalkula 10 bil-power ta' 6 u tikseb 1000000.

$$370\times 1000000=286\times 400\left(950-\frac{x^{2}}{2}\right)$$

Immultiplika 370 u 1000000 biex tikseb 370000000.

$$370000000=286\times 400\left(950-\frac{x^{2}}{2}\right)$$

Immultiplika 286 u 400 biex tikseb 114400.

$$370000000=114400\left(950-\frac{x^{2}}{2}\right)$$

Uża l-propjetà distributtiva biex timmultiplika 114400 b'950-\frac{x^{2}}{2}.

$$370000000=108680000+114400\left(-\frac{x^{2}}{2}\right)$$

Ikkanċella l-akbar fattur komuni 2 f'114400 u 2.

$$370000000=108680000-57200x^{2}$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$108680000-57200x^{2}=370000000$$

Naqqas 370000000 miż-żewġ naħat.

$$108680000-57200x^{2}-370000000=0$$

Naqqas 370000000 minn 108680000 biex tikseb -261320000.

$$-261320000-57200x^{2}=0$$

Ekwazzjonijiet kwadratiċi bħal din, b'terminu x^{2} term iżda b'ebda terminu x, xorta jistgħu jiġu solvuti billi tuża l-formula kwadratika, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ladarba jitqiegħdu fil-forma standard: ax^{2}+bx+c=0.

$$-57200x^{2}-261320000=0$$

Din l-ekwazzjoni hija fil-forma standard: ax^{2}+bx+c=0. Issostitwixxi -57200 għal a, 0 għal b, u -261320000 għal c fil-formula kwadratika, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-57200\right)\left(-261320000\right)}}{2\left(-57200\right)}$$

Ikkwadra 0.

$$x=\frac{0±\sqrt{-4\left(-57200\right)\left(-261320000\right)}}{2\left(-57200\right)}$$

Immultiplika -4 b'-57200.

$$x=\frac{0±\sqrt{228800\left(-261320000\right)}}{2\left(-57200\right)}$$

Immultiplika 228800 b'-261320000.

$$x=\frac{0±\sqrt{-59790016000000}}{2\left(-57200\right)}$$

Ħu l-għerq kwadrat ta' -59790016000000.

$$x=\frac{0±8000\sqrt{934219}i}{2\left(-57200\right)}$$

Immultiplika 2 b'-57200.

$$x=\frac{0±8000\sqrt{934219}i}{-114400}$$

Issa solvi l-ekwazzjoni x=\frac{0±8000\sqrt{934219}i}{-114400} fejn ± hija plus.

$$x=-\frac{10\sqrt{934219}i}{143}$$

Issa solvi l-ekwazzjoni x=\frac{0±8000\sqrt{934219}i}{-114400} fejn ± hija minus.

$$x=\frac{10\sqrt{934219}i}{143}$$

L-ekwazzjoni issa solvuta.

$$x=-\frac{10\sqrt{934219}i}{143} x=\frac{10\sqrt{934219}i}{143}$$