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Otras calculadoras
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- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
-
Ecuación 5-x^2=0
- Expresar {x} en función de y en la ecuación:
- 12*x+1*y=15
- -17*x-12*y=-9
- 18*x+17*y=-14
- 14*x-10*y=-4
-
Expresiones idénticas
- log(cuatro)(x^ dos + catorce (x)+ cincuenta)/log(cuatro)(x+ diez)= uno
- logaritmo de (4)(x al cuadrado más 14(x) más 50) dividir por logaritmo de (4)(x más 10) es igual a 1
- logaritmo de (cuatro)(x en el grado dos más cotangente de angente de orce (x) más cincuenta) dividir por logaritmo de (cuatro)(x más diez) es igual a uno
- log(4)(x2+14(x)+50)/log(4)(x+10)=1
- log4x2+14x+50/log4x+10=1
- log(4)(x²+14(x)+50)/log(4)(x+10)=1
- log(4)(x en el grado 2+14(x)+50)/log(4)(x+10)=1
- log4x^2+14x+50/log4x+10=1
- log(4)(x^2+14(x)+50) dividir por log(4)(x+10)=1
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Expresiones semejantes
- log(4)(x^2+14(x)-50)/log(4)(x+10)=1
- log(4)(x^2+14(x)+50)/log(4)(x-10)=1
- log(4)(x^2-14(x)+50)/log(4)(x+10)=1
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Expresiones con funciones
- Logaritmo log
- log^24x−log4x^3+2=0
- log(4^x-b,2)=0
- log(1/6)*(x-5)=x+1
- log(2*x-1)+log(x-9)=2
- logax=0
- Logaritmo log
- log^24x−log4x^3+2=0
- log(4^x-b,2)=0
- log(1/6)*(x-5)=x+1
- log(2*x-1)+log(x-9)=2
- logax=0
log(4)(x^2+14(x)+50)/log(4)(x+10)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \
log(4)*\x + 14*x + 50/
-----------------------*(x + 10) = 1
log(4)
$$\frac{\left(\left(x^{2} + 14 x\right) + 50\right) \log{\left(4 \right)}}{\log{\left(4 \right)}} \left(x + 10\right) = 1$$
Respuesta rápida
[src]
________________ / ________________\
/ _____ | / _____ |
/ 81 3*\/ 633 | ___ / 81 3*\/ 633 |
3 / -- + --------- | ___ \/ 3 *3 / -- + --------- |
1 \/ 2 2 | \/ 3 \/ 2 2 |
x1 = -8 + --------------------- + --------------------- + I*|- --------------------- + ---------------------------|
________________ 6 | ________________ 6 |
/ _____ | / _____ |
/ 81 3*\/ 633 | / 81 3*\/ 633 |
3 / -- + --------- | 3 / -- + --------- |
\/ 2 2 \ \/ 2 2 /
$$x_{1} = -8 + \frac{1}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6} + i \left(- \frac{\sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6}\right)$$
________________ / ________________\
/ _____ | / _____ |
/ 81 3*\/ 633 | ___ / 81 3*\/ 633 |
3 / -- + --------- | ___ \/ 3 *3 / -- + --------- |
1 \/ 2 2 | \/ 3 \/ 2 2 |
x2 = -8 + --------------------- + --------------------- + I*|--------------------- - ---------------------------|
________________ 6 | ________________ 6 |
/ _____ | / _____ |
/ 81 3*\/ 633 | / 81 3*\/ 633 |
3 / -- + --------- |3 / -- + --------- |
\/ 2 2 \\/ 2 2 /
$$x_{2} = -8 + \frac{1}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6} + \frac{\sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}\right)$$
________________
/ _____
/ 81 3*\/ 633
3 / -- + ---------
2 \/ 2 2
x3 = -8 - --------------------- - ---------------------
________________ 3
/ _____
/ 81 3*\/ 633
3 / -- + ---------
\/ 2 2
$$x_{3} = -8 - \frac{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{3} - \frac{2}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}$$
x3 = -8 - (3*sqrt(633)/2 + 81/2)^(1/3)/3 - 2/(3*sqrt(633)/2 + 81/2)^(1/3)
Suma y producto de raíces
[src]
suma
________________ / ________________\ ________________ / ________________\ ________________
/ _____ | / _____ | / _____ | / _____ | / _____
/ 81 3*\/ 633 | ___ / 81 3*\/ 633 | / 81 3*\/ 633 | ___ / 81 3*\/ 633 | / 81 3*\/ 633
3 / -- + --------- | ___ \/ 3 *3 / -- + --------- | 3 / -- + --------- | ___ \/ 3 *3 / -- + --------- | 3 / -- + ---------
1 \/ 2 2 | \/ 3 \/ 2 2 | 1 \/ 2 2 | \/ 3 \/ 2 2 | 2 \/ 2 2
-8 + --------------------- + --------------------- + I*|- --------------------- + ---------------------------| + -8 + --------------------- + --------------------- + I*|--------------------- - ---------------------------| + -8 - --------------------- - ---------------------
________________ 6 | ________________ 6 | ________________ 6 | ________________ 6 | ________________ 3
/ _____ | / _____ | / _____ | / _____ | / _____
/ 81 3*\/ 633 | / 81 3*\/ 633 | / 81 3*\/ 633 | / 81 3*\/ 633 | / 81 3*\/ 633
3 / -- + --------- | 3 / -- + --------- | 3 / -- + --------- |3 / -- + --------- | 3 / -- + ---------
\/ 2 2 \ \/ 2 2 / \/ 2 2 \\/ 2 2 / \/ 2 2
$$\left(-8 - \frac{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{3} - \frac{2}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}\right) + \left(\left(-8 + \frac{1}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6} + \frac{\sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}\right)\right) + \left(-8 + \frac{1}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6} + i \left(- \frac{\sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6}\right)\right)\right)$$
=
/ ________________\ / ________________\
| / _____ | | / _____ |
| ___ / 81 3*\/ 633 | | ___ / 81 3*\/ 633 |
| ___ \/ 3 *3 / -- + --------- | | ___ \/ 3 *3 / -- + --------- |
| \/ 3 \/ 2 2 | | \/ 3 \/ 2 2 |
-24 + I*|--------------------- - ---------------------------| + I*|- --------------------- + ---------------------------|
| ________________ 6 | | ________________ 6 |
| / _____ | | / _____ |
| / 81 3*\/ 633 | | / 81 3*\/ 633 |
|3 / -- + --------- | | 3 / -- + --------- |
\\/ 2 2 / \ \/ 2 2 /
$$-24 + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6} + \frac{\sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}\right) + i \left(- \frac{\sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6}\right)$$
producto
/ ________________ / ________________\\ / ________________ / ________________\\ / ________________\ | / _____ | / _____ || | / _____ | / _____ || | / _____ | | / 81 3*\/ 633 | ___ / 81 3*\/ 633 || | / 81 3*\/ 633 | ___ / 81 3*\/ 633 || | / 81 3*\/ 633 | | 3 / -- + --------- | ___ \/ 3 *3 / -- + --------- || | 3 / -- + --------- | ___ \/ 3 *3 / -- + --------- || | 3 / -- + --------- | | 1 \/ 2 2 | \/ 3 \/ 2 2 || | 1 \/ 2 2 | \/ 3 \/ 2 2 || | 2 \/ 2 2 | |-8 + --------------------- + --------------------- + I*|- --------------------- + ---------------------------||*|-8 + --------------------- + --------------------- + I*|--------------------- - ---------------------------||*|-8 - --------------------- - ---------------------| | ________________ 6 | ________________ 6 || | ________________ 6 | ________________ 6 || | ________________ 3 | | / _____ | / _____ || | / _____ | / _____ || | / _____ | | / 81 3*\/ 633 | / 81 3*\/ 633 || | / 81 3*\/ 633 | / 81 3*\/ 633 || | / 81 3*\/ 633 | | 3 / -- + --------- | 3 / -- + --------- || | 3 / -- + --------- |3 / -- + --------- || | 3 / -- + --------- | \ \/ 2 2 \ \/ 2 2 // \ \/ 2 2 \\/ 2 2 // \ \/ 2 2 /
$$\left(-8 + \frac{1}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6} + i \left(- \frac{\sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6}\right)\right) \left(-8 + \frac{1}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{6} + \frac{\sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}\right)\right) \left(-8 - \frac{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}{3} - \frac{2}{\sqrt[3]{\frac{3 \sqrt{633}}{2} + \frac{81}{2}}}\right)$$
=
2/3 __________________ 2/3 ________________ 2/3 2/3
__________________ ________________ 3 ___ / _____\ _____ 3 / _____ 3 ____ / _____\ 2/3 _____ 3 / _____ 3 ___ _____ / _____\ 3 ___ 6 ___ _____ / _____\
3 / _____ 2/3 3 / _____ 95*\/ 2 *\81 + 3*\/ 633 / 26*\/ 633 *\/ 324 + 12*\/ 633 95*\/ 18 *\27 + \/ 633 / 26*2 *\/ 633 *\/ 81 + 3*\/ 633 95*\/ 2 *\/ 633 *\81 + 3*\/ 633 / 95*\/ 2 *\/ 3 *\/ 211 *\27 + \/ 633 /
-499 - 78*\/ 324 + 12*\/ 633 + 78*2 *\/ 81 + 3*\/ 633 - ---------------------------- + -------------------------------- + --------------------------- - ----------------------------------- + ------------------------------------ - ----------------------------------------
8 9 8 9 216 72
$$- 78 \sqrt[3]{12 \sqrt{633} + 324} - \frac{26 \cdot 2^{\frac{2}{3}} \sqrt{633} \sqrt[3]{3 \sqrt{633} + 81}}{9} - 499 - \frac{95 \sqrt[3]{2} \left(3 \sqrt{633} + 81\right)^{\frac{2}{3}}}{8} - \frac{95 \sqrt[3]{2} \sqrt{211} \sqrt[6]{3} \left(\sqrt{633} + 27\right)^{\frac{2}{3}}}{72} + \frac{95 \sqrt[3]{2} \sqrt{633} \left(3 \sqrt{633} + 81\right)^{\frac{2}{3}}}{216} + \frac{95 \sqrt[3]{18} \left(\sqrt{633} + 27\right)^{\frac{2}{3}}}{8} + \frac{26 \sqrt{633} \sqrt[3]{12 \sqrt{633} + 324}}{9} + 78 \cdot 2^{\frac{2}{3}} \sqrt[3]{3 \sqrt{633} + 81}$$
-499 - 78*(324 + 12*sqrt(633))^(1/3) + 78*2^(2/3)*(81 + 3*sqrt(633))^(1/3) - 95*2^(1/3)*(81 + 3*sqrt(633))^(2/3)/8 + 26*sqrt(633)*(324 + 12*sqrt(633))^(1/3)/9 + 95*18^(1/3)*(27 + sqrt(633))^(2/3)/8 - 26*2^(2/3)*sqrt(633)*(81 + 3*sqrt(633))^(1/3)/9 + 95*2^(1/3)*sqrt(633)*(81 + 3*sqrt(633))^(2/3)/216 - 95*2^(1/3)*3^(1/6)*sqrt(211)*(27 + sqrt(633))^(2/3)/72
Respuesta numérica
[src]
x1 = -7.05335540184775 + 0.829703552862405*i
x2 = -9.8932891963045
x3 = -7.05335540184775 - 0.829703552862405*i
x3 = -7.05335540184775 - 0.829703552862405*i