13744/100 x^2+54977/100 x+122500=0

Soluzione

\frac{13744}{100} x^{2} + \frac{54977}{100} x + 122500 = 0

x = - \frac{54977}{27488} + i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}, x = - \frac{54977}{27488} - i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}

Fasi della soluzione

\frac{13744}{100} x^{2} + \frac{54977}{100} x + 122500 = 0

Moltiplica entrambi i lati per

100

13744 x^{2} + 54977 x + 12250000 = 0

Dividere entrambi i lati per

13744

\frac{13744 x ^{2}}{13744} + \frac{54977 x}{13744} + \frac{12250000}{13744} = \frac{0}{13744}

Scrivi in forma standard

a x^{2} + b x + c = 0

x^{2} + \frac{54977 x}{13744} + \frac{765625}{859} = 0

Risolvi con la formula quadratica

x_{1, 2} = \frac{- \frac{54977}{13744} \pm ( \frac{54977}{13744} ) ^{2} - 4 \cdot 1 \cdot \frac{765625}{859}}{2 \cdot 1}

Semplifica

(\frac{54977}{13744})^{2} - 4 \cdot 1 \cdot \frac{765625}{859} : i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}

x_{1, 2} = \frac{- \frac{54977}{13744} \pm i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}}{2 \cdot 1}

Separare le soluzioni

x_{1} = \frac{- \frac{54977}{13744} + i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}}{2 \cdot 1}, x_{2} = \frac{- \frac{54977}{13744} - i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}}{2 \cdot 1}

x = \frac{- \frac{54977}{13744} + i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}}{2 \cdot 1} : - \frac{54977}{27488} + i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}

x = \frac{- \frac{54977}{13744} - i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}}{2 \cdot 1} : - \frac{54977}{27488} - i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}

Le soluzioni dell'equazione quadratica sono:

x = - \frac{54977}{27488} + i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}, x = - \frac{54977}{27488} - i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}