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- La ecuación:
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Ecuación x^2+4*x-32=0
-
Ecuación 9*x^2=0
-
Ecuación 4*x=24+x
-
Ecuación 16-7(5-x)=9
- Expresar {x} en función de y en la ecuación:
- 15*x-5*y=-5
- 8*x-13*y=-12
- 19*x-2*y=-17
- 16*x-15*y=4
-
Expresiones idénticas
- (siete /(x+ cinco))+(ocho (2x+ cinco)/x(x+ cinco))= uno
- (7 dividir por (x más 5)) más (8(2x más 5) dividir por x(x más 5)) es igual a 1
- (siete dividir por (x más cinco)) más (ocho (2x más cinco) dividir por x(x más cinco)) es igual a uno
- 7/x+5+82x+5/xx+5=1
- (7 dividir por (x+5))+(8(2x+5) dividir por x(x+5))=1
-
Expresiones semejantes
- (7/(x+5))-(8(2x+5)/x(x+5))=1
- (7/(x-5))+(8(2x+5)/x(x+5))=1
- (7/(x+5))+(8(2x+5)/x(x-5))=1
- (7/(x+5))+(8(2x-5)/x(x+5))=1
(7/(x+5))+(8(2x+5)/x(x+5))=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
7 8*(2*x + 5) ----- + -----------*(x + 5) = 1 x + 5 x
$$\frac{8 \left(2 x + 5\right)}{x} \left(x + 5\right) + \frac{7}{x + 5} = 1$$
Suma y producto de raíces
[src]
suma
______________________ / ______________________ \ ______________________ / ______________________ \
/ _________ | / _________ | / _________ | / _________ |
/ 154457 \/ 9768981 | ___ / 154457 \/ 9768981 | / 154457 \/ 9768981 | ___ / 154457 \/ 9768981 | ______________________
3 / ------ + ----------- | \/ 3 *3 / ------ + ----------- ___ | 3 / ------ + ----------- |\/ 3 *3 / ------ + ----------- ___ | / _________
199 1105 \/ 110592 2304 | \/ 110592 2304 1105*\/ 3 | 199 1105 \/ 110592 2304 | \/ 110592 2304 1105*\/ 3 | 199 / 154457 \/ 9768981 1105
- --- - -------------------------------- - --------------------------- + I*|- --------------------------------- + --------------------------------| + - --- - -------------------------------- - --------------------------- + I*|--------------------------------- - --------------------------------| + - --- + 3 / ------ + ----------- + --------------------------------
48 ______________________ 2 | 2 ______________________| 48 ______________________ 2 | 2 ______________________| 48 \/ 110592 2304 ______________________
/ _________ | / _________ | / _________ | / _________ | / _________
/ 154457 \/ 9768981 | / 154457 \/ 9768981 | / 154457 \/ 9768981 | / 154457 \/ 9768981 | / 154457 \/ 9768981
4608*3 / ------ + ----------- | 4608*3 / ------ + ----------- | 4608*3 / ------ + ----------- | 4608*3 / ------ + ----------- | 2304*3 / ------ + -----------
\/ 110592 2304 \ \/ 110592 2304 / \/ 110592 2304 \ \/ 110592 2304 / \/ 110592 2304
$$\left(- \frac{199}{48} + \frac{1105}{2304 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}\right) + \left(\left(- \frac{199}{48} - \frac{\sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2} - \frac{1105}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2} + \frac{1105 \sqrt{3}}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}\right)\right) + \left(- \frac{199}{48} - \frac{\sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2} - \frac{1105}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + i \left(- \frac{1105 \sqrt{3}}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2}\right)\right)\right)$$
=
/ ______________________ \ / ______________________ \
| / _________ | | / _________ |
| ___ / 154457 \/ 9768981 | | ___ / 154457 \/ 9768981 |
|\/ 3 *3 / ------ + ----------- ___ | | \/ 3 *3 / ------ + ----------- ___ |
199 | \/ 110592 2304 1105*\/ 3 | | \/ 110592 2304 1105*\/ 3 |
- --- + I*|--------------------------------- - --------------------------------| + I*|- --------------------------------- + --------------------------------|
16 | 2 ______________________| | 2 ______________________|
| / _________ | | / _________ |
| / 154457 \/ 9768981 | | / 154457 \/ 9768981 |
| 4608*3 / ------ + ----------- | | 4608*3 / ------ + ----------- |
\ \/ 110592 2304 / \ \/ 110592 2304 /
$$- \frac{199}{16} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2} + \frac{1105 \sqrt{3}}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}\right) + i \left(- \frac{1105 \sqrt{3}}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2}\right)$$
producto
/ ______________________ / ______________________ \\ / ______________________ / ______________________ \\ | / _________ | / _________ || | / _________ | / _________ || | / 154457 \/ 9768981 | ___ / 154457 \/ 9768981 || | / 154457 \/ 9768981 | ___ / 154457 \/ 9768981 || / ______________________ \ | 3 / ------ + ----------- | \/ 3 *3 / ------ + ----------- ___ || | 3 / ------ + ----------- |\/ 3 *3 / ------ + ----------- ___ || | / _________ | | 199 1105 \/ 110592 2304 | \/ 110592 2304 1105*\/ 3 || | 199 1105 \/ 110592 2304 | \/ 110592 2304 1105*\/ 3 || | 199 / 154457 \/ 9768981 1105 | |- --- - -------------------------------- - --------------------------- + I*|- --------------------------------- + --------------------------------||*|- --- - -------------------------------- - --------------------------- + I*|--------------------------------- - --------------------------------||*|- --- + 3 / ------ + ----------- + --------------------------------| | 48 ______________________ 2 | 2 ______________________|| | 48 ______________________ 2 | 2 ______________________|| | 48 \/ 110592 2304 ______________________| | / _________ | / _________ || | / _________ | / _________ || | / _________ | | / 154457 \/ 9768981 | / 154457 \/ 9768981 || | / 154457 \/ 9768981 | / 154457 \/ 9768981 || | / 154457 \/ 9768981 | | 4608*3 / ------ + ----------- | 4608*3 / ------ + ----------- || | 4608*3 / ------ + ----------- | 4608*3 / ------ + ----------- || | 2304*3 / ------ + ----------- | \ \/ 110592 2304 \ \/ 110592 2304 // \ \/ 110592 2304 \ \/ 110592 2304 // \ \/ 110592 2304 /
$$\left(- \frac{199}{48} - \frac{\sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2} - \frac{1105}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + i \left(- \frac{1105 \sqrt{3}}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2}\right)\right) \left(- \frac{199}{48} - \frac{\sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2} - \frac{1105}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2} + \frac{1105 \sqrt{3}}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}\right)\right) \left(- \frac{199}{48} + \frac{1105}{2304 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}\right)$$
=
-125/2
$$- \frac{125}{2}$$
-125/2
Respuesta rápida
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______________________ / ______________________ \
/ _________ | / _________ |
/ 154457 \/ 9768981 | ___ / 154457 \/ 9768981 |
3 / ------ + ----------- | \/ 3 *3 / ------ + ----------- ___ |
199 1105 \/ 110592 2304 | \/ 110592 2304 1105*\/ 3 |
x1 = - --- - -------------------------------- - --------------------------- + I*|- --------------------------------- + --------------------------------|
48 ______________________ 2 | 2 ______________________|
/ _________ | / _________ |
/ 154457 \/ 9768981 | / 154457 \/ 9768981 |
4608*3 / ------ + ----------- | 4608*3 / ------ + ----------- |
\/ 110592 2304 \ \/ 110592 2304 /
$$x_{1} = - \frac{199}{48} - \frac{\sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2} - \frac{1105}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2} + \frac{1105 \sqrt{3}}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}\right)$$
______________________ / ______________________ \
/ _________ | / _________ |
/ 154457 \/ 9768981 | ___ / 154457 \/ 9768981 |
3 / ------ + ----------- |\/ 3 *3 / ------ + ----------- ___ |
199 1105 \/ 110592 2304 | \/ 110592 2304 1105*\/ 3 |
x2 = - --- - -------------------------------- - --------------------------- + I*|--------------------------------- - --------------------------------|
48 ______________________ 2 | 2 ______________________|
/ _________ | / _________ |
/ 154457 \/ 9768981 | / 154457 \/ 9768981 |
4608*3 / ------ + ----------- | 4608*3 / ------ + ----------- |
\/ 110592 2304 \ \/ 110592 2304 /
$$x_{2} = - \frac{199}{48} - \frac{\sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2} - \frac{1105}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + i \left(- \frac{1105 \sqrt{3}}{4608 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}}{2}\right)$$
______________________
/ _________
199 / 154457 \/ 9768981 1105
x3 = - --- + 3 / ------ + ----------- + --------------------------------
48 \/ 110592 2304 ______________________
/ _________
/ 154457 \/ 9768981
2304*3 / ------ + -----------
\/ 110592 2304
$$x_{3} = - \frac{199}{48} + \frac{1105}{2304 \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}} + \sqrt[3]{\frac{\sqrt{9768981}}{2304} + \frac{154457}{110592}}$$
x3 = -199/48 + 1105/(2304*(sqrt(9768981)/2304 + 154457/110592)^(1/3)) + (sqrt(9768981)/2304 + 154457/110592)^(1/3)
Respuesta numérica
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x1 = -5.01771024400416 - 0.917445343739541*i
x2 = -5.01771024400416 + 0.917445343739541*i
x3 = -2.40207951199169
x3 = -2.40207951199169