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- La ecuación:
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Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
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Ecuación x^2-14*x+33=0
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Ecuación 5(x-4)=3x-10
- Expresar {x} en función de y en la ecuación:
- 12*x+1*y=15
- -17*x-12*y=-9
- 18*x+17*y=-14
- 16*x-17*y=-15
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Expresiones idénticas
- (-4x^(dos)+ catorce)*(x^(dos)- dos x+ dos)-(- dos x^(2)+ catorce x-14)*(2x-2)= cero
- ( menos 4x en el grado (2) más 14) multiplicar por (x en el grado (2) menos 2x más 2) menos ( menos 2x en el grado (2) más 14x menos 14) multiplicar por (2x menos 2) es igual a 0
- ( menos 4x en el grado (dos) más cotangente de angente de orce) multiplicar por (x en el grado (dos) menos dos x más dos) menos ( menos dos x en el grado (2) más cotangente de angente de orce x menos 14) multiplicar por (2x menos 2) es igual a cero
- (-4x(2)+14)*(x(2)-2x+2)-(-2x(2)+14x-14)*(2x-2)=0
- -4x2+14*x2-2x+2--2x2+14x-14*2x-2=0
- (-4x^(2)+14)(x^(2)-2x+2)-(-2x^(2)+14x-14)(2x-2)=0
- (-4x(2)+14)(x(2)-2x+2)-(-2x(2)+14x-14)(2x-2)=0
- -4x2+14x2-2x+2--2x2+14x-142x-2=0
- -4x^2+14x^2-2x+2--2x^2+14x-142x-2=0
- (-4x^(2)+14)*(x^(2)-2x+2)-(-2x^(2)+14x-14)*(2x-2)=O
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Expresiones semejantes
- (-4x^(2)+14)*(x^(2)-2x+2)-(-2x^(2)-14x-14)*(2x-2)=0
- (-4x^(2)+14)*(x^(2)-2x+2)+(-2x^(2)+14x-14)*(2x-2)=0
- (-4x^(2)+14)*(x^(2)-2x+2)-(2x^(2)+14x-14)*(2x-2)=0
- (-4x^(2)-14)*(x^(2)-2x+2)-(-2x^(2)+14x-14)*(2x-2)=0
- (-4x^(2)+14)*(x^(2)-2x+2)-(-2x^(2)+14x-14)*(2x+2)=0
- (4x^(2)+14)*(x^(2)-2x+2)-(-2x^(2)+14x-14)*(2x-2)=0
- (-4x^(2)+14)*(x^(2)-2x+2)-(-2x^(2)+14x+14)*(2x-2)=0
- (-4x^(2)+14)*(x^(2)+2x+2)-(-2x^(2)+14x-14)*(2x-2)=0
- (-4x^(2)+14)*(x^(2)-2x-2)-(-2x^(2)+14x-14)*(2x-2)=0
(-4x^(2)+14)*(x^(2)-2x+2)-(-2x^(2)+14x-14)*(2x-2)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ / 2 \ / 2 \ \- 4*x + 14/*\x - 2*x + 2/ - \- 2*x + 14*x - 14/*(2*x - 2) = 0
$$\left(14 - 4 x^{2}\right) \left(\left(x^{2} - 2 x\right) + 2\right) - \left(2 x - 2\right) \left(\left(- 2 x^{2} + 14 x\right) - 14\right) = 0$$
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
______________ / ______________\
/ ______ | / ______ |
/ 5 \/ 4083 | ___ / 5 \/ 4083 |
3 / - + -------- | ___ \/ 3 *3 / - + -------- |
\/ 4 36 7 | 7*\/ 3 \/ 4 36 |
x2 = 1 - ------------------- + ---------------------- + I*|- ---------------------- - -------------------------|
2 ______________ | ______________ 2 |
/ ______ | / ______ |
/ 5 \/ 4083 | / 5 \/ 4083 |
12*3 / - + -------- | 12*3 / - + -------- |
\/ 4 36 \ \/ 4 36 /
$$x_{2} = - \frac{\sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2} + \frac{7}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + 1 + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2} - \frac{7 \sqrt{3}}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}\right)$$
______________ / ______________ \
/ ______ | / ______ |
/ 5 \/ 4083 | ___ / 5 \/ 4083 |
3 / - + -------- |\/ 3 *3 / - + -------- ___ |
\/ 4 36 7 | \/ 4 36 7*\/ 3 |
x3 = 1 - ------------------- + ---------------------- + I*|------------------------- + ----------------------|
2 ______________ | 2 ______________|
/ ______ | / ______ |
/ 5 \/ 4083 | / 5 \/ 4083 |
12*3 / - + -------- | 12*3 / - + -------- |
\/ 4 36 \ \/ 4 36 /
$$x_{3} = - \frac{\sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2} + \frac{7}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + 1 + i \left(\frac{7 \sqrt{3}}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + \frac{\sqrt{3} \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2}\right)$$
______________
/ ______
/ 5 \/ 4083 7
x4 = 1 + 3 / - + -------- - ---------------------
\/ 4 36 ______________
/ ______
/ 5 \/ 4083
6*3 / - + --------
\/ 4 36
$$x_{4} = - \frac{7}{6 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + 1 + \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}$$
x4 = -7/(6*(5/4 + sqrt(4083)/36)^(1/3)) + 1 + (5/4 + sqrt(4083)/36)^(1/3)
Suma y producto de raíces
[src]
suma
______________ / ______________\ ______________ / ______________ \
/ ______ | / ______ | / ______ | / ______ |
/ 5 \/ 4083 | ___ / 5 \/ 4083 | / 5 \/ 4083 | ___ / 5 \/ 4083 | ______________
3 / - + -------- | ___ \/ 3 *3 / - + -------- | 3 / - + -------- |\/ 3 *3 / - + -------- ___ | / ______
\/ 4 36 7 | 7*\/ 3 \/ 4 36 | \/ 4 36 7 | \/ 4 36 7*\/ 3 | / 5 \/ 4083 7
1 - ------------------- + ---------------------- + I*|- ---------------------- - -------------------------| + 1 - ------------------- + ---------------------- + I*|------------------------- + ----------------------| + 1 + 3 / - + -------- - ---------------------
2 ______________ | ______________ 2 | 2 ______________ | 2 ______________| \/ 4 36 ______________
/ ______ | / ______ | / ______ | / ______ | / ______
/ 5 \/ 4083 | / 5 \/ 4083 | / 5 \/ 4083 | / 5 \/ 4083 | / 5 \/ 4083
12*3 / - + -------- | 12*3 / - + -------- | 12*3 / - + -------- | 12*3 / - + -------- | 6*3 / - + --------
\/ 4 36 \ \/ 4 36 / \/ 4 36 \ \/ 4 36 / \/ 4 36
$$\left(- \frac{7}{6 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + 1 + \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2} + \frac{7}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + 1 + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2} - \frac{7 \sqrt{3}}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2} + \frac{7}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + 1 + i \left(\frac{7 \sqrt{3}}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + \frac{\sqrt{3} \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2}\right)\right)\right)$$
=
/ ______________ \ / ______________\
| / ______ | | / ______ |
| ___ / 5 \/ 4083 | | ___ / 5 \/ 4083 |
|\/ 3 *3 / - + -------- ___ | | ___ \/ 3 *3 / - + -------- |
| \/ 4 36 7*\/ 3 | | 7*\/ 3 \/ 4 36 |
3 + I*|------------------------- + ----------------------| + I*|- ---------------------- - -------------------------|
| 2 ______________| | ______________ 2 |
| / ______ | | / ______ |
| / 5 \/ 4083 | | / 5 \/ 4083 |
| 12*3 / - + -------- | | 12*3 / - + -------- |
\ \/ 4 36 / \ \/ 4 36 /
$$3 + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2} - \frac{7 \sqrt{3}}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}\right) + i \left(\frac{7 \sqrt{3}}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + \frac{\sqrt{3} \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2}\right)$$
producto
/ ______________ / ______________\\ / ______________ / ______________ \\ | / ______ | / ______ || | / ______ | / ______ || | / 5 \/ 4083 | ___ / 5 \/ 4083 || | / 5 \/ 4083 | ___ / 5 \/ 4083 || / ______________ \ | 3 / - + -------- | ___ \/ 3 *3 / - + -------- || | 3 / - + -------- |\/ 3 *3 / - + -------- ___ || | / ______ | | \/ 4 36 7 | 7*\/ 3 \/ 4 36 || | \/ 4 36 7 | \/ 4 36 7*\/ 3 || | / 5 \/ 4083 7 | 0*|1 - ------------------- + ---------------------- + I*|- ---------------------- - -------------------------||*|1 - ------------------- + ---------------------- + I*|------------------------- + ----------------------||*|1 + 3 / - + -------- - ---------------------| | 2 ______________ | ______________ 2 || | 2 ______________ | 2 ______________|| | \/ 4 36 ______________| | / ______ | / ______ || | / ______ | / ______ || | / ______ | | / 5 \/ 4083 | / 5 \/ 4083 || | / 5 \/ 4083 | / 5 \/ 4083 || | / 5 \/ 4083 | | 12*3 / - + -------- | 12*3 / - + -------- || | 12*3 / - + -------- | 12*3 / - + -------- || | 6*3 / - + -------- | \ \/ 4 36 \ \/ 4 36 // \ \/ 4 36 \ \/ 4 36 // \ \/ 4 36 /
$$\left(- \frac{\sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2} + \frac{7}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + 1 + i \left(\frac{7 \sqrt{3}}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + \frac{\sqrt{3} \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2}\right)\right) 0 \left(- \frac{\sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2} + \frac{7}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + 1 + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}{2} - \frac{7 \sqrt{3}}{12 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}}\right)\right) \left(- \frac{7}{6 \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}} + 1 + \sqrt[3]{\frac{5}{4} + \frac{\sqrt{4083}}{36}}\right)$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = 0.0
x2 = 0.680226737727915 - 1.95109323657082*i
x3 = 0.680226737727915 + 1.95109323657082*i
x4 = 1.63954652454417
x4 = 1.63954652454417