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Popular Álgebra >

2.93^2=19.82^2+(24x)^2+((10)/pi x)^2

Solución

2.9 3^{2} = 19.8 2^{2} + (24 x)^{2} + (\frac{10}{π} x)^{2}

Solución

x = i \frac{384.2475 π 100 + 576 π ^{2}}{100 + 576 π ^{2}}, x = - i \frac{384.2475 π 100 + 576 π ^{2}}{100 + 576 π ^{2}}

Pasos de solución

2.9 3^{2} = 19.8 2^{2} + (24 x)^{2} + (\frac{10}{π} x)^{2}

Desarrollar

2.9 3^{2} : 8.5849

Desarrollar

19.8 2^{2} + (24 x)^{2} + (\frac{10}{π} x)^{2} : 392.8324 + \frac{576 π ^{2} + 100}{π ^{2}} x^{2}

8.5849 = 392.8324 + \frac{576 π ^{2} + 100}{π ^{2}} x^{2}

Intercambiar lados

392.8324 + \frac{576 π ^{2} + 100}{π ^{2}} x^{2} = 8.5849

Desplace

392.8324

a la derecha

\frac{576 π ^{2} + 100}{π ^{2}} x^{2} = - 384.2475

Multiplicar ambos lados por

π^{2}

(576 π^{2} + 100) x^{2} = - 384.2475 π^{2}

Dividir ambos lados entre

576 π^{2} + 100

x^{2} = - \frac{384.2475 π ^{2}}{576 π ^{2} + 100}

Para

x^{2} = f (a)

las soluciones son

x = f (a), - f (a)

x = - \frac{384.2475 π ^{2}}{576 π ^{2} + 100}, x = - - \frac{384.2475 π ^{2}}{576 π ^{2} + 100}

Simplificar

- \frac{384.2475 π ^{2}}{576 π ^{2} + 100} : i \frac{384.2475 π 100 + 576 π ^{2}}{100 + 576 π ^{2}}

Simplificar

- - \frac{384.2475 π ^{2}}{576 π ^{2} + 100} : - i \frac{384.2475 π 100 + 576 π ^{2}}{100 + 576 π ^{2}}

x = i \frac{384.2475 π 100 + 576 π ^{2}}{100 + 576 π ^{2}}, x = - i \frac{384.2475 π 100 + 576 π ^{2}}{100 + 576 π ^{2}}

Gráfica

Ejemplos populares

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4 = x^{1} \cdot 4.55 + x^{2} \cdot 3.72

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c^{2} = - 10 c

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