Sr Examen

Otras calculadoras

49*sqrt(1-(9/49)*x^2)-40=sqrt(1-x^2) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Gráfica
-2.0-1.5-1.0-0.50.00.51.01.52.0-2525
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
                 /    /    ___\\                    /    /    ___\\                    /    /    ___\\                    /    /    ___\\                  /    /    ___\\                    /    /    ___\\                  /    /    ___\\                    /    /    ___\\
                 |    |7*\/ 2 ||                    |    |7*\/ 2 ||                    |    |7*\/ 2 ||                    |    |7*\/ 2 ||                  |    |7*\/ 2 ||                    |    |7*\/ 2 ||                  |    |7*\/ 2 ||                    |    |7*\/ 2 ||
                 |atan|-------||                    |atan|-------||                    |atan|-------||                    |atan|-------||                  |atan|-------||                    |atan|-------||                  |atan|-------||                    |atan|-------||
    ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|     ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|     ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|
  \/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------|     \/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------|   \/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------|   \/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------|
                 \      2      /                    \      2      /                    \      2      /                    \      2      /                  \      2      /                    \      2      /                  \      2      /                    \      2      /
- ------------------------------ - -------------------------------- + - ------------------------------ + -------------------------------- + ------------------------------ - -------------------------------- + ------------------------------ + --------------------------------
                11                                11                                  11                                11                                11                                11                                11                                11
((11346cos⁡(atan⁡(72109)2)11−11346isin⁡(atan⁡(72109)2)11)+((−11346cos⁡(atan⁡(72109)2)11−11346isin⁡(atan⁡(72109)2)11)+(−11346cos⁡(atan⁡(72109)2)11+11346isin⁡(atan⁡(72109)2)11)))+(11346cos⁡(atan⁡(72109)2)11+11346isin⁡(atan⁡(72109)2)11)\left(\left(\frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) + \left(\left(- \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) + \left(- \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right)\right)\right) + \left(\frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) 
=
0
00 
producto
/                 /    /    ___\\                    /    /    ___\\\ /                 /    /    ___\\                    /    /    ___\\\ /               /    /    ___\\                    /    /    ___\\\ /               /    /    ___\\                    /    /    ___\\\
|                 |    |7*\/ 2 ||                    |    |7*\/ 2 ||| |                 |    |7*\/ 2 ||                    |    |7*\/ 2 ||| |               |    |7*\/ 2 ||                    |    |7*\/ 2 ||| |               |    |7*\/ 2 ||                    |    |7*\/ 2 |||
|                 |atan|-------||                    |atan|-------||| |                 |atan|-------||                    |atan|-------||| |               |atan|-------||                    |atan|-------||| |               |atan|-------||                    |atan|-------|||
|    ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|| |    ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|| |  ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|| |  ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /||
|  \/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------|| |  \/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------|| |\/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------|| |\/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------||
|                 \      2      /                    \      2      /| |                 \      2      /                    \      2      /| |               \      2      /                    \      2      /| |               \      2      /                    \      2      /|
|- ------------------------------ - --------------------------------|*|- ------------------------------ + --------------------------------|*|------------------------------ - --------------------------------|*|------------------------------ + --------------------------------|
\                11                                11               / \                11                                11               / \              11                                11               / \              11                                11               /
(−11346cos⁡(atan⁡(72109)2)11−11346isin⁡(atan⁡(72109)2)11)(−11346cos⁡(atan⁡(72109)2)11+11346isin⁡(atan⁡(72109)2)11)(11346cos⁡(atan⁡(72109)2)11−11346isin⁡(atan⁡(72109)2)11)(11346cos⁡(atan⁡(72109)2)11+11346isin⁡(atan⁡(72109)2)11)\left(- \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) \left(- \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) \left(\frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) \left(\frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11}\right) 
=
36
--
11
3611\frac{36}{11} 
36/11
Respuesta rápida [src] 
                      /    /    ___\\                    /    /    ___\\
                      |    |7*\/ 2 ||                    |    |7*\/ 2 ||
                      |atan|-------||                    |atan|-------||
         ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|
       \/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------|
                      \      2      /                    \      2      /
x1 = - ------------------------------ - --------------------------------
                     11                                11
x1=−11346cos⁡(atan⁡(72109)2)11−11346isin⁡(atan⁡(72109)2)11x_{1} = - \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} 
                      /    /    ___\\                    /    /    ___\\
                      |    |7*\/ 2 ||                    |    |7*\/ 2 ||
                      |atan|-------||                    |atan|-------||
         ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|
       \/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------|
                      \      2      /                    \      2      /
x2 = - ------------------------------ + --------------------------------
                     11                                11
x2=−11346cos⁡(atan⁡(72109)2)11+11346isin⁡(atan⁡(72109)2)11x_{2} = - \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} 
                    /    /    ___\\                    /    /    ___\\
                    |    |7*\/ 2 ||                    |    |7*\/ 2 ||
                    |atan|-------||                    |atan|-------||
       ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|
     \/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------|
                    \      2      /                    \      2      /
x3 = ------------------------------ - --------------------------------
                   11                                11
x3=11346cos⁡(atan⁡(72109)2)11−11346isin⁡(atan⁡(72109)2)11x_{3} = \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} - \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} 
                    /    /    ___\\                    /    /    ___\\
                    |    |7*\/ 2 ||                    |    |7*\/ 2 ||
                    |atan|-------||                    |atan|-------||
       ___   3/4    |    \  109  /|       ___   3/4    |    \  109  /|
     \/ 6 *11   *cos|-------------|   I*\/ 6 *11   *sin|-------------|
                    \      2      /                    \      2      /
x4 = ------------------------------ + --------------------------------
                   11                                11
x4=11346cos⁡(atan⁡(72109)2)11+11346isin⁡(atan⁡(72109)2)11x_{4} = \frac{11^{\frac{3}{4}} \sqrt{6} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} + \frac{11^{\frac{3}{4}} \sqrt{6} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{2}}{109} \right)}}{2} \right)}}{11} 
x4 = 11^(3/4)*sqrt(6)*cos(atan(7*sqrt(2)/109)/2)/11 + 11^(3/4)*sqrt(6)*i*sin(atan(7*sqrt(2)/109)/2)/11
Respuesta numérica [src] 
x1 = 1.34363703432671 - 0.0608899618352576*i
x2 = -1.34363703432671 + 0.0608899618352576*i
x3 = 1.34363703432671 + 0.0608899618352576*i
x4 = -1.34363703432671 - 0.0608899618352576*i
x4 = -1.34363703432671 - 0.0608899618352576*i
    © Sr Examen – Калькулятор