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La ecuación:
Ecuación (x+9)^2=36*x
Ecuación a+120=2000/5
Ecuación x-32/4=50
Ecuación x^2+10*x+16=0
Expresar {x} en función de y en la ecuación:
-6*x-12*y=9
9*x-1*y=17
10*x-2*y=11
12*x-3*y=-2
Expresiones idénticas
ocho ^(- cuatro *x)* dos ^- tres = ocho ^(tres / dos)*(dos *sqrt(dos))^-x
8 en el grado ( menos 4 multiplicar por x) multiplicar por 2 en el grado menos 3 es igual a 8 en el grado (3 dividir por 2) multiplicar por (2 multiplicar por raíz cuadrada de (2)) en el grado menos x
ocho en el grado ( menos cuatro multiplicar por x) multiplicar por dos en el grado menos tres es igual a ocho en el grado (tres dividir por dos) multiplicar por (dos multiplicar por raíz cuadrada de (dos)) en el grado menos x
8^(-4*x)*2^-3=8^(3/2)*(2*√(2))^-x
8(-4*x)*2-3=8(3/2)*(2*sqrt(2))-x
8-4*x*2-3=83/2*2*sqrt2-x
8^(-4x)2^-3=8^(3/2)(2sqrt(2))^-x
8(-4x)2-3=8(3/2)(2sqrt(2))-x
8-4x2-3=83/22sqrt2-x
8^-4x2^-3=8^3/22sqrt2^-x
8^(-4*x)*2^-3=8^(3 dividir por 2)*(2*sqrt(2))^-x
Expresiones semejantes
8^(4*x)*2^-3=8^(3/2)*(2*sqrt(2))^-x
8^(-4*x)*2^+3=8^(3/2)*(2*sqrt(2))^-x
8^(-4*x)*2^-3=8^(3/2)*(2*sqrt(2))^+x
Expresiones con funciones
Raíz cuadrada sqrt
sqrt(1-x)=sqrt[3](x-2)
sqrt(x)^1=0
sqrt(x-2)+sqrt(x+6)=2
sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
sqrt(5x+1)=sqrt(x+5)

8^(-4x)2^-3=8^(3/2)(2sqrt(2))^-x la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

                            -x
 -4*x          3/2 /    ___\  
8    *0.125 = 8   *\2*\/ 2 /

$$0.125 \cdot 8^{- 4 x} = 8^{\frac{3}{2}} \left(2 \sqrt{2}\right)^{- x}$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

x1 = -0.714285714285714

$$x_{1} = -0.714285714285714$$

x2 = -0.714285714285714 - 8.6330669368137*I

$$x_{2} = -0.714285714285714 - 8.6330669368137 i$$

x3 = -0.714285714285714 - 7.76976024313233*I

$$x_{3} = -0.714285714285714 - 7.76976024313233 i$$

x4 = -0.714285714285714 - 6.90645354945096*I

$$x_{4} = -0.714285714285714 - 6.90645354945096 i$$

x5 = -0.714285714285714 - 6.04314685576959*I

$$x_{5} = -0.714285714285714 - 6.04314685576959 i$$

x6 = -0.714285714285714 - 5.17984016208822*I

$$x_{6} = -0.714285714285714 - 5.17984016208822 i$$

x7 = -0.714285714285714 - 4.31653346840685*I

$$x_{7} = -0.714285714285714 - 4.31653346840685 i$$

x8 = -0.714285714285714 - 3.45322677472548*I

$$x_{8} = -0.714285714285714 - 3.45322677472548 i$$

x9 = -0.714285714285714 - 2.58992008104411*I

$$x_{9} = -0.714285714285714 - 2.58992008104411 i$$

x10 = -0.714285714285714 - 1.72661338736274*I

$$x_{10} = -0.714285714285714 - 1.72661338736274 i$$

x11 = -0.714285714285714 - 0.86330669368137*I

$$x_{11} = -0.714285714285714 - 0.86330669368137 i$$

x12 = -0.714285714285714 + 0.86330669368137*I

$$x_{12} = -0.714285714285714 + 0.86330669368137 i$$

x13 = -0.714285714285714 + 1.72661338736274*I

$$x_{13} = -0.714285714285714 + 1.72661338736274 i$$

x14 = -0.714285714285714 + 2.58992008104411*I

$$x_{14} = -0.714285714285714 + 2.58992008104411 i$$

x15 = -0.714285714285714 + 3.45322677472548*I

$$x_{15} = -0.714285714285714 + 3.45322677472548 i$$

x16 = -0.714285714285714 + 4.31653346840685*I

$$x_{16} = -0.714285714285714 + 4.31653346840685 i$$

x17 = -0.714285714285714 + 5.17984016208822*I

$$x_{17} = -0.714285714285714 + 5.17984016208822 i$$

x18 = -0.714285714285714 + 6.04314685576959*I

$$x_{18} = -0.714285714285714 + 6.04314685576959 i$$

x19 = -0.714285714285714 + 6.90645354945096*I

$$x_{19} = -0.714285714285714 + 6.90645354945096 i$$

x20 = -0.714285714285714 + 7.76976024313233*I

$$x_{20} = -0.714285714285714 + 7.76976024313233 i$$

x21 = -0.714285714285714 + 8.6330669368137*I

$$x_{21} = -0.714285714285714 + 8.6330669368137 i$$

x21 = -0.714285714285714 + 8.6330669368137*i

Suma y producto de raíces [src]

suma

-0.714285714285714 + -0.714285714285714 - 8.6330669368137*I + -0.714285714285714 - 7.76976024313233*I + -0.714285714285714 - 6.90645354945096*I + -0.714285714285714 - 6.04314685576959*I + -0.714285714285714 - 5.17984016208822*I + -0.714285714285714 - 4.31653346840685*I + -0.714285714285714 - 3.45322677472548*I + -0.714285714285714 - 2.58992008104411*I + -0.714285714285714 - 1.72661338736274*I + -0.714285714285714 - 0.86330669368137*I + -0.714285714285714 + 0.86330669368137*I + -0.714285714285714 + 1.72661338736274*I + -0.714285714285714 + 2.58992008104411*I + -0.714285714285714 + 3.45322677472548*I + -0.714285714285714 + 4.31653346840685*I + -0.714285714285714 + 5.17984016208822*I + -0.714285714285714 + 6.04314685576959*I + -0.714285714285714 + 6.90645354945096*I + -0.714285714285714 + 7.76976024313233*I + -0.714285714285714 + 8.6330669368137*I

$$\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(-0.714285714285714 + \left(-0.714285714285714 - 8.6330669368137 i\right)\right) + \left(-0.714285714285714 - 7.76976024313233 i\right)\right) + \left(-0.714285714285714 - 6.90645354945096 i\right)\right) + \left(-0.714285714285714 - 6.04314685576959 i\right)\right) + \left(-0.714285714285714 - 5.17984016208822 i\right)\right) + \left(-0.714285714285714 - 4.31653346840685 i\right)\right) + \left(-0.714285714285714 - 3.45322677472548 i\right)\right) + \left(-0.714285714285714 - 2.58992008104411 i\right)\right) + \left(-0.714285714285714 - 1.72661338736274 i\right)\right) + \left(-0.714285714285714 - 0.86330669368137 i\right)\right) + \left(-0.714285714285714 + 0.86330669368137 i\right)\right) + \left(-0.714285714285714 + 1.72661338736274 i\right)\right) + \left(-0.714285714285714 + 2.58992008104411 i\right)\right) + \left(-0.714285714285714 + 3.45322677472548 i\right)\right) + \left(-0.714285714285714 + 4.31653346840685 i\right)\right) + \left(-0.714285714285714 + 5.17984016208822 i\right)\right) + \left(-0.714285714285714 + 6.04314685576959 i\right)\right) + \left(-0.714285714285714 + 6.90645354945096 i\right)\right) + \left(-0.714285714285714 + 7.76976024313233 i\right)\right) + \left(-0.714285714285714 + 8.6330669368137 i\right)$$

-15.0 + 3.5527136788005e-15*I

$$-15.0 + 3.5527136788005 \cdot 10^{-15} i$$

producto

-0.714285714285714*(-0.714285714285714 - 8.6330669368137*I)*(-0.714285714285714 - 7.76976024313233*I)*(-0.714285714285714 - 6.90645354945096*I)*(-0.714285714285714 - 6.04314685576959*I)*(-0.714285714285714 - 5.17984016208822*I)*(-0.714285714285714 - 4.31653346840685*I)*(-0.714285714285714 - 3.45322677472548*I)*(-0.714285714285714 - 2.58992008104411*I)*(-0.714285714285714 - 1.72661338736274*I)*(-0.714285714285714 - 0.86330669368137*I)*(-0.714285714285714 + 0.86330669368137*I)*(-0.714285714285714 + 1.72661338736274*I)*(-0.714285714285714 + 2.58992008104411*I)*(-0.714285714285714 + 3.45322677472548*I)*(-0.714285714285714 + 4.31653346840685*I)*(-0.714285714285714 + 5.17984016208822*I)*(-0.714285714285714 + 6.04314685576959*I)*(-0.714285714285714 + 6.90645354945096*I)*(-0.714285714285714 + 7.76976024313233*I)*(-0.714285714285714 + 8.6330669368137*I)

$$- 0.714285714285714 \left(-0.714285714285714 - 8.6330669368137 i\right) \left(-0.714285714285714 - 7.76976024313233 i\right) \left(-0.714285714285714 - 6.90645354945096 i\right) \left(-0.714285714285714 - 6.04314685576959 i\right) \left(-0.714285714285714 - 5.17984016208822 i\right) \left(-0.714285714285714 - 4.31653346840685 i\right) \left(-0.714285714285714 - 3.45322677472548 i\right) \left(-0.714285714285714 - 2.58992008104411 i\right) \left(-0.714285714285714 - 1.72661338736274 i\right) \left(-0.714285714285714 - 0.86330669368137 i\right) \left(-0.714285714285714 + 0.86330669368137 i\right) \left(-0.714285714285714 + 1.72661338736274 i\right) \left(-0.714285714285714 + 2.58992008104411 i\right) \left(-0.714285714285714 + 3.45322677472548 i\right) \left(-0.714285714285714 + 4.31653346840685 i\right) \left(-0.714285714285714 + 5.17984016208822 i\right) \left(-0.714285714285714 + 6.04314685576959 i\right) \left(-0.714285714285714 + 6.90645354945096 i\right) \left(-0.714285714285714 + 7.76976024313233 i\right) \left(-0.714285714285714 + 8.6330669368137 i\right)$$

-1199516112005.61 + 0.0001220703125*I

$$-1199516112005.61 + 0.0001220703125 i$$

-1199516112005.61 + 0.0001220703125*i

Respuesta numérica [src]

x1 = 108.37874485872

x2 = 100.37874485872

x3 = 120.37874485872

x4 = 102.37874485872

x5 = 64.3787448587204

x6 = 56.3787448587204

x7 = 50.3787448587204

x8 = 58.3787448587204

x9 = 110.37874485872

x10 = 114.37874485872

x11 = 30.3787448587204

x12 = 42.3787448587204

x13 = 38.3787448587204

x14 = 70.3787448587204

x15 = 48.3787448587204

x16 = 118.37874485872

x17 = 98.3787448587204

x18 = 72.3787448587204

x19 = 52.3787448587204

x20 = 82.3787448587204

x21 = 68.3787448587204

x22 = 44.3787448587204

x23 = 90.3787448587204

x24 = 104.37874485872

x25 = 36.3787448587204

x26 = 78.3787448587204

x27 = 74.3787448587204

x28 = 86.3787448587204

x29 = 84.3787448587204

x30 = 66.3787448587204

x31 = 76.3787448587204

x32 = 94.3787448587204

x33 = 46.3787448587204

x34 = 54.3787448587204

x35 = 34.3787448587204

x36 = 80.3787448587204

x37 = 60.3787448587204

x38 = 92.3787448587204

x39 = 106.37874485872

x40 = 62.3787448587204

x41 = 88.3787448587204

x42 = 116.37874485872

x43 = 32.3787448587204

x44 = 40.3787448587204

x45 = 112.37874485872

x46 = 96.3787448587204

x47 = -0.714285714285714

x47 = -0.714285714285714

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

8^(-4*x)*2^-3=8^(3/2)*(2*sqrt(2))^-x la ecuación

Solución numérica:

Solución

8^(-4x)2^-3=8^(3/2)(2sqrt(2))^-x la ecuación