Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación (x+9)^2=36*x
-
Ecuación a+120=2000/5
-
Ecuación -x/11+x=50/11
-
Ecuación x^2+7x+6=0
- Expresar {x} en función de y en la ecuación:
- 12*x+8*y=18
- 8*x+6*y=20
- -2*x+18*y=13
- -11*x-1*y=15
-
Expresiones idénticas
- z*(uno . setecientos cinco +z)^ dos = uno . trescientos dieciséis
- z multiplicar por (1.705 más z) al cuadrado es igual a 1.316
- z multiplicar por (uno . setecientos cinco más z) en el grado dos es igual a uno . trescientos dieciséis
- z*(1.705+z)2=1.316
- z*1.705+z2=1.316
- z*(1.705+z)²=1.316
- z*(1.705+z) en el grado 2=1.316
- z(1.705+z)^2=1.316
- z(1.705+z)2=1.316
- z1.705+z2=1.316
- z1.705+z^2=1.316
-
Expresiones semejantes
- z*(1.705-z)^2=1.316
z*(1.705+z)^2=1.316 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 /341 \ 329 z*|--- + z| = --- \200 / 250
$$z \left(z + \frac{341}{200}\right)^{2} = \frac{329}{250}$$
Suma y producto de raíces
[src]
suma
______________________________ / ______________________________ \ ______________________________ / ______________________________ \
/ ______________ | / ______________ | / ______________ | / ______________ |
/ 181779821 \/ 546382576635 | ___ / 181779821 \/ 546382576635 | / 181779821 \/ 546382576635 | ___ / 181779821 \/ 546382576635 | ______________________________
3 / --------- + ---------------- | \/ 3 *3 / --------- + ---------------- ___ | 3 / --------- + ---------------- |\/ 3 *3 / --------- + ---------------- ___ | / ______________
341 116281 \/ 216000000 900000 | \/ 216000000 900000 116281*\/ 3 | 341 116281 \/ 216000000 900000 | \/ 216000000 900000 116281*\/ 3 | 341 / 181779821 \/ 546382576635 116281
- --- - ------------------------------------------ - ----------------------------------- + I*|- ----------------------------------------- + ------------------------------------------| + - --- - ------------------------------------------ - ----------------------------------- + I*|----------------------------------------- - ------------------------------------------| + - --- + 3 / --------- + ---------------- + ------------------------------------------
300 ______________________________ 2 | 2 ______________________________| 300 ______________________________ 2 | 2 ______________________________| 300 \/ 216000000 900000 ______________________________
/ ______________ | / ______________ | / ______________ | / ______________ | / ______________
/ 181779821 \/ 546382576635 | / 181779821 \/ 546382576635 | / 181779821 \/ 546382576635 | / 181779821 \/ 546382576635 | / 181779821 \/ 546382576635
720000*3 / --------- + ---------------- | 720000*3 / --------- + ---------------- | 720000*3 / --------- + ---------------- | 720000*3 / --------- + ---------------- | 360000*3 / --------- + ----------------
\/ 216000000 900000 \ \/ 216000000 900000 / \/ 216000000 900000 \ \/ 216000000 900000 / \/ 216000000 900000
$$\left(- \frac{341}{300} + \frac{116281}{360000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}\right) + \left(\left(- \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} + \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}\right)\right) + \left(- \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2}\right)\right)\right)$$
=
/ ______________________________ \ / ______________________________ \
| / ______________ | | / ______________ |
| ___ / 181779821 \/ 546382576635 | | ___ / 181779821 \/ 546382576635 |
|\/ 3 *3 / --------- + ---------------- ___ | | \/ 3 *3 / --------- + ---------------- ___ |
341 | \/ 216000000 900000 116281*\/ 3 | | \/ 216000000 900000 116281*\/ 3 |
- --- + I*|----------------------------------------- - ------------------------------------------| + I*|- ----------------------------------------- + ------------------------------------------|
100 | 2 ______________________________| | 2 ______________________________|
| / ______________ | | / ______________ |
| / 181779821 \/ 546382576635 | | / 181779821 \/ 546382576635 |
| 720000*3 / --------- + ---------------- | | 720000*3 / --------- + ---------------- |
\ \/ 216000000 900000 / \ \/ 216000000 900000 /
$$- \frac{341}{100} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} + \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}\right) + i \left(- \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2}\right)$$
producto
/ ______________________________ / ______________________________ \\ / ______________________________ / ______________________________ \\ | / ______________ | / ______________ || | / ______________ | / ______________ || | / 181779821 \/ 546382576635 | ___ / 181779821 \/ 546382576635 || | / 181779821 \/ 546382576635 | ___ / 181779821 \/ 546382576635 || / ______________________________ \ | 3 / --------- + ---------------- | \/ 3 *3 / --------- + ---------------- ___ || | 3 / --------- + ---------------- |\/ 3 *3 / --------- + ---------------- ___ || | / ______________ | | 341 116281 \/ 216000000 900000 | \/ 216000000 900000 116281*\/ 3 || | 341 116281 \/ 216000000 900000 | \/ 216000000 900000 116281*\/ 3 || | 341 / 181779821 \/ 546382576635 116281 | |- --- - ------------------------------------------ - ----------------------------------- + I*|- ----------------------------------------- + ------------------------------------------||*|- --- - ------------------------------------------ - ----------------------------------- + I*|----------------------------------------- - ------------------------------------------||*|- --- + 3 / --------- + ---------------- + ------------------------------------------| | 300 ______________________________ 2 | 2 ______________________________|| | 300 ______________________________ 2 | 2 ______________________________|| | 300 \/ 216000000 900000 ______________________________| | / ______________ | / ______________ || | / ______________ | / ______________ || | / ______________ | | / 181779821 \/ 546382576635 | / 181779821 \/ 546382576635 || | / 181779821 \/ 546382576635 | / 181779821 \/ 546382576635 || | / 181779821 \/ 546382576635 | | 720000*3 / --------- + ---------------- | 720000*3 / --------- + ---------------- || | 720000*3 / --------- + ---------------- | 720000*3 / --------- + ---------------- || | 360000*3 / --------- + ---------------- | \ \/ 216000000 900000 \ \/ 216000000 900000 // \ \/ 216000000 900000 \ \/ 216000000 900000 // \ \/ 216000000 900000 /
$$\left(- \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2}\right)\right) \left(- \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} + \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}\right)\right) \left(- \frac{341}{300} + \frac{116281}{360000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}\right)$$
=
329 --- 250
$$\frac{329}{250}$$
329/250
Respuesta rápida
[src]
______________________________ / ______________________________ \
/ ______________ | / ______________ |
/ 181779821 \/ 546382576635 | ___ / 181779821 \/ 546382576635 |
3 / --------- + ---------------- | \/ 3 *3 / --------- + ---------------- ___ |
341 116281 \/ 216000000 900000 | \/ 216000000 900000 116281*\/ 3 |
z1 = - --- - ------------------------------------------ - ----------------------------------- + I*|- ----------------------------------------- + ------------------------------------------|
300 ______________________________ 2 | 2 ______________________________|
/ ______________ | / ______________ |
/ 181779821 \/ 546382576635 | / 181779821 \/ 546382576635 |
720000*3 / --------- + ---------------- | 720000*3 / --------- + ---------------- |
\/ 216000000 900000 \ \/ 216000000 900000 /
$$z_{1} = - \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} + \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}\right)$$
______________________________ / ______________________________ \
/ ______________ | / ______________ |
/ 181779821 \/ 546382576635 | ___ / 181779821 \/ 546382576635 |
3 / --------- + ---------------- |\/ 3 *3 / --------- + ---------------- ___ |
341 116281 \/ 216000000 900000 | \/ 216000000 900000 116281*\/ 3 |
z2 = - --- - ------------------------------------------ - ----------------------------------- + I*|----------------------------------------- - ------------------------------------------|
300 ______________________________ 2 | 2 ______________________________|
/ ______________ | / ______________ |
/ 181779821 \/ 546382576635 | / 181779821 \/ 546382576635 |
720000*3 / --------- + ---------------- | 720000*3 / --------- + ---------------- |
\/ 216000000 900000 \ \/ 216000000 900000 /
$$z_{2} = - \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2}\right)$$
______________________________
/ ______________
341 / 181779821 \/ 546382576635 116281
z3 = - --- + 3 / --------- + ---------------- + ------------------------------------------
300 \/ 216000000 900000 ______________________________
/ ______________
/ 181779821 \/ 546382576635
360000*3 / --------- + ----------------
\/ 216000000 900000
$$z_{3} = - \frac{341}{300} + \frac{116281}{360000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}$$
z3 = -341/300 + 116281/(360000*(sqrt(546382576635)/900000 + 181779821/216000000)^(1/3)) + (sqrt(546382576635)/900000 + 181779821/216000000)^(1/3)
Respuesta numérica
[src]
z1 = -1.86535187134482 + 0.789897492854101*i
z2 = -1.86535187134482 - 0.789897492854101*i
z3 = 0.32070374268964
z3 = 0.32070374268964