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- La ecuación:
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Ecuación x^2+5x=36
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Ecuación 3*x-6=x+4
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Ecuación 9^x-8*3^x-9=0
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Ecuación x^3+4=0
- Expresar {x} en función de y en la ecuación:
- -2*x-19*y=3
- 6*x+17*y=-11
- -11*x-7*y=-2
- -19*x+14*y=20
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Expresiones idénticas
- (x^ dos - dos x+ tres)sqrt(dos x- uno)- dos (x-2)(2x^2-1 cero x+ nueve)=0
- (x al cuadrado menos 2x más 3) raíz cuadrada de (2x menos 1) menos 2(x menos 2)(2x al cuadrado menos 10x más 9) es igual a 0
- (x en el grado dos menos dos x más tres) raíz cuadrada de (dos x menos uno) menos dos (x menos 2)(2x al cuadrado menos 1 cero x más nueve) es igual a 0
- (x^2-2x+3)√(2x-1)-2(x-2)(2x^2-10x+9)=0
- (x2-2x+3)sqrt(2x-1)-2(x-2)(2x2-10x+9)=0
- x2-2x+3sqrt2x-1-2x-22x2-10x+9=0
- (x²-2x+3)sqrt(2x-1)-2(x-2)(2x²-10x+9)=0
- (x en el grado 2-2x+3)sqrt(2x-1)-2(x-2)(2x en el grado 2-10x+9)=0
- x^2-2x+3sqrt2x-1-2x-22x^2-10x+9=0
- (x^2-2x+3)sqrt(2x-1)-2(x-2)(2x^2-10x+9)=O
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Expresiones semejantes
- (x^2-2x-3)sqrt(2x-1)-2(x-2)(2x^2-10x+9)=0
- (x^2-2x+3)sqrt(2x-1)-2(x+2)(2x^2-10x+9)=0
- (x^2-2x+3)sqrt(2x-1)+2(x-2)(2x^2-10x+9)=0
- (x^2-2x+3)sqrt(2x+1)-2(x-2)(2x^2-10x+9)=0
- (x^2+2x+3)sqrt(2x-1)-2(x-2)(2x^2-10x+9)=0
- (x^2-2x+3)sqrt(2x-1)-2(x-2)(2x^2-10x-9)=0
- (x^2-2x+3)sqrt(2x-1)-2(x-2)(2x^2+10x+9)=0
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(x+2)-sqrt(x-6)=2
- sqrt((a-b*w^2)^2+(c*w)^2)=(19/10)*w
- sqrt(0*x+0)=0
- sqrt(5+2*x)=8+-sqrt(x-1)
- sqrt(4*x^2+4*x-6)=2
(x^2-2x+3)sqrt(2x-1)-2(x-2)(2x^2-10x+9)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ _________ / 2 \ \x - 2*x + 3/*\/ 2*x - 1 - 2*(x - 2)*\2*x - 10*x + 9/ = 0
$$- 2 \left(x - 2\right) \left(\left(2 x^{2} - 10 x\right) + 9\right) + \sqrt{2 x - 1} \left(\left(x^{2} - 2 x\right) + 3\right) = 0$$
Respuesta rápida
[src]
x1 = 5
$$x_{1} = 5$$
/ / / ___\\\ / / ___\\
| | |147*\/ 7 ||| | |147*\/ 7 ||
| |atan|---------||| |atan|---------||
| ___ 4 ____ | \ 17 /|| ___ 4 ____ | \ 17 /|
| ___ \/ 2 *\/ 37 *sin|---------------|| \/ 2 *\/ 37 *cos|---------------|
65 | 3*\/ 7 \ 2 /| \ 2 /
x2 = -- + I*|- ------- + ---------------------------------| - ---------------------------------
32 \ 32 4 / 4
$$x_{2} = - \frac{\sqrt{2} \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4} + \frac{65}{32} + i \left(- \frac{3 \sqrt{7}}{32} + \frac{\sqrt{2} \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4}\right)$$
/ / / ___\\\ / / ___\\
| | |147*\/ 7 ||| | |147*\/ 7 ||
| |atan|---------||| |atan|---------||
| ___ 4 ____ | \ 17 /|| ___ 4 ____ | \ 17 /|
| ___ \/ 2 *\/ 37 *sin|---------------|| \/ 2 *\/ 37 *cos|---------------|
65 |3*\/ 7 \ 2 /| \ 2 /
x3 = -- + I*|------- - ---------------------------------| - ---------------------------------
32 \ 32 4 / 4
$$x_{3} = - \frac{\sqrt{2} \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4} + \frac{65}{32} + i \left(- \frac{\sqrt{2} \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{7}}{32}\right)$$
x3 = -sqrt(2)*37^(1/4)*cos(atan(147*sqrt(7)/17)/2)/4 + 65/32 + i*(-sqrt(2)*37^(1/4)*sin(atan(147*sqrt(7)/17)/2)/4 + 3*sqrt(7)/32)
Suma y producto de raíces
[src]
suma
/ / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\
| | |147*\/ 7 ||| | |147*\/ 7 || | | |147*\/ 7 ||| | |147*\/ 7 ||
| |atan|---------||| |atan|---------|| | |atan|---------||| |atan|---------||
| ___ 4 ____ | \ 17 /|| ___ 4 ____ | \ 17 /| | ___ 4 ____ | \ 17 /|| ___ 4 ____ | \ 17 /|
| ___ \/ 2 *\/ 37 *sin|---------------|| \/ 2 *\/ 37 *cos|---------------| | ___ \/ 2 *\/ 37 *sin|---------------|| \/ 2 *\/ 37 *cos|---------------|
65 | 3*\/ 7 \ 2 /| \ 2 / 65 |3*\/ 7 \ 2 /| \ 2 /
5 + -- + I*|- ------- + ---------------------------------| - --------------------------------- + -- + I*|------- - ---------------------------------| - ---------------------------------
32 \ 32 4 / 4 32 \ 32 4 / 4
$$\left(- \frac{\sqrt{2} \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4} + \frac{65}{32} + i \left(- \frac{\sqrt{2} \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{7}}{32}\right)\right) + \left(5 + \left(- \frac{\sqrt{2} \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4} + \frac{65}{32} + i \left(- \frac{3 \sqrt{7}}{32} + \frac{\sqrt{2} \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4}\right)\right)\right)$$
=
/ / / ___\\\ / / / ___\\\ / / ___\\
| | |147*\/ 7 ||| | | |147*\/ 7 ||| | |147*\/ 7 ||
| |atan|---------||| | |atan|---------||| |atan|---------||
| ___ 4 ____ | \ 17 /|| | ___ 4 ____ | \ 17 /|| ___ 4 ____ | \ 17 /|
| ___ \/ 2 *\/ 37 *sin|---------------|| | ___ \/ 2 *\/ 37 *sin|---------------|| \/ 2 *\/ 37 *cos|---------------|
145 | 3*\/ 7 \ 2 /| |3*\/ 7 \ 2 /| \ 2 /
--- + I*|- ------- + ---------------------------------| + I*|------- - ---------------------------------| - ---------------------------------
16 \ 32 4 / \ 32 4 / 2
$$- \frac{\sqrt{2} \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{2} + \frac{145}{16} + i \left(- \frac{\sqrt{2} \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{7}}{32}\right) + i \left(- \frac{3 \sqrt{7}}{32} + \frac{\sqrt{2} \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4}\right)$$
producto
/ / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ | | | |147*\/ 7 ||| | |147*\/ 7 ||| | | | |147*\/ 7 ||| | |147*\/ 7 ||| | | |atan|---------||| |atan|---------||| | | |atan|---------||| |atan|---------||| | | ___ 4 ____ | \ 17 /|| ___ 4 ____ | \ 17 /|| | | ___ 4 ____ | \ 17 /|| ___ 4 ____ | \ 17 /|| | | ___ \/ 2 *\/ 37 *sin|---------------|| \/ 2 *\/ 37 *cos|---------------|| | | ___ \/ 2 *\/ 37 *sin|---------------|| \/ 2 *\/ 37 *cos|---------------|| |65 | 3*\/ 7 \ 2 /| \ 2 /| |65 |3*\/ 7 \ 2 /| \ 2 /| 5*|-- + I*|- ------- + ---------------------------------| - ---------------------------------|*|-- + I*|------- - ---------------------------------| - ---------------------------------| \32 \ 32 4 / 4 / \32 \ 32 4 / 4 /
$$5 \left(- \frac{\sqrt{2} \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4} + \frac{65}{32} + i \left(- \frac{3 \sqrt{7}}{32} + \frac{\sqrt{2} \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4}\right)\right) \left(- \frac{\sqrt{2} \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4} + \frac{65}{32} + i \left(- \frac{\sqrt{2} \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{4} + \frac{3 \sqrt{7}}{32}\right)\right)$$
=
/ / ___\\ / / ___\\
| |147*\/ 7 || | |147*\/ 7 ||
|atan|---------|| |atan|---------||
___ 4 ____ | \ 17 /| ____ 4 ____ | \ 17 /|
____ 325*\/ 2 *\/ 37 *cos|---------------| 15*\/ 14 *\/ 37 *sin|---------------|
335 5*\/ 37 \ 2 / \ 2 /
--- + -------- - ------------------------------------- - -------------------------------------
16 8 64 64
$$- \frac{325 \sqrt{2} \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{64} - \frac{15 \sqrt{14} \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(\frac{147 \sqrt{7}}{17} \right)}}{2} \right)}}{64} + \frac{5 \sqrt{37}}{8} + \frac{335}{16}$$
335/16 + 5*sqrt(37)/8 - 325*sqrt(2)*37^(1/4)*cos(atan(147*sqrt(7)/17)/2)/64 - 15*sqrt(14)*37^(1/4)*sin(atan(147*sqrt(7)/17)/2)/64
Respuesta numérica
[src]
x1 = 1.40134983279592 - 0.354929383953914*i
x2 = 1.40134983279598 + 0.354929383953989*i
x3 = 1.40134983279599 - 0.354929383953991*i
x4 = 1.40134983279599 - 0.354929383953991*i
x5 = 1.40134983279601 - 0.35492938395397*i
x6 = 1.40134983279599 - 0.354929383953992*i
x7 = 1.40134983279599 - 0.354929383953992*i
x8 = 5.0
x9 = 1.401349832796 - 0.354929383953951*i
x9 = 1.401349832796 - 0.354929383953951*i