Sr Examen

Otras calculadoras

asin(y/2)=-2*sqrt(1-3*x)/3 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
               _________
    /y\   -2*\/ 1 - 3*x 
asin|-| = --------------
    \2/         3
asin⁡(y2)=(−1)21−3x3\operatorname{asin}{\left(\frac{y}{2} \right)} = \frac{\left(-1\right) 2 \sqrt{1 - 3 x}}{3}
Simplificar
Gráfica
Suma y producto de raíces [src] 
suma
        2/    /y\\       2/    /y\\         /    /y\\   /    /y\\
    3*re |asin|-||   3*im |asin|-||   3*I*im|asin|-||*re|asin|-||
1        \    \2//        \    \2//         \    \2//   \    \2//
- - -------------- + -------------- - ---------------------------
3         4                4                       2
−3(re⁡(asin⁡(y2)))24−3ire⁡(asin⁡(y2))im⁡(asin⁡(y2))2+3(im⁡(asin⁡(y2)))24+13- \frac{3 \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}\right)^{2}}{4} - \frac{3 i \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)} \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}}{2} + \frac{3 \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}\right)^{2}}{4} + \frac{1}{3} 
=
        2/    /y\\       2/    /y\\         /    /y\\   /    /y\\
    3*re |asin|-||   3*im |asin|-||   3*I*im|asin|-||*re|asin|-||
1        \    \2//        \    \2//         \    \2//   \    \2//
- - -------------- + -------------- - ---------------------------
3         4                4                       2
−3(re⁡(asin⁡(y2)))24−3ire⁡(asin⁡(y2))im⁡(asin⁡(y2))2+3(im⁡(asin⁡(y2)))24+13- \frac{3 \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}\right)^{2}}{4} - \frac{3 i \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)} \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}}{2} + \frac{3 \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}\right)^{2}}{4} + \frac{1}{3} 
producto
        2/    /y\\       2/    /y\\         /    /y\\   /    /y\\
    3*re |asin|-||   3*im |asin|-||   3*I*im|asin|-||*re|asin|-||
1        \    \2//        \    \2//         \    \2//   \    \2//
- - -------------- + -------------- - ---------------------------
3         4                4                       2
−3(re⁡(asin⁡(y2)))24−3ire⁡(asin⁡(y2))im⁡(asin⁡(y2))2+3(im⁡(asin⁡(y2)))24+13- \frac{3 \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}\right)^{2}}{4} - \frac{3 i \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)} \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}}{2} + \frac{3 \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}\right)^{2}}{4} + \frac{1}{3} 
=
        2/    /y\\       2/    /y\\         /    /y\\   /    /y\\
    3*re |asin|-||   3*im |asin|-||   3*I*im|asin|-||*re|asin|-||
1        \    \2//        \    \2//         \    \2//   \    \2//
- - -------------- + -------------- - ---------------------------
3         4                4                       2
−3(re⁡(asin⁡(y2)))24−3ire⁡(asin⁡(y2))im⁡(asin⁡(y2))2+3(im⁡(asin⁡(y2)))24+13- \frac{3 \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}\right)^{2}}{4} - \frac{3 i \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)} \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}}{2} + \frac{3 \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}\right)^{2}}{4} + \frac{1}{3} 
1/3 - 3*re(asin(y/2))^2/4 + 3*im(asin(y/2))^2/4 - 3*i*im(asin(y/2))*re(asin(y/2))/2
Respuesta rápida [src] 
             2/    /y\\       2/    /y\\         /    /y\\   /    /y\\
         3*re |asin|-||   3*im |asin|-||   3*I*im|asin|-||*re|asin|-||
     1        \    \2//        \    \2//         \    \2//   \    \2//
x1 = - - -------------- + -------------- - ---------------------------
     3         4                4                       2
x1=−3(re⁡(asin⁡(y2)))24−3ire⁡(asin⁡(y2))im⁡(asin⁡(y2))2+3(im⁡(asin⁡(y2)))24+13x_{1} = - \frac{3 \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}\right)^{2}}{4} - \frac{3 i \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)} \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}}{2} + \frac{3 \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{2} \right)}\right)}\right)^{2}}{4} + \frac{1}{3} 
x1 = -3*re(asin(y/2))^2/4 - 3*i*re(asin(y/2))*im(asin(y/2))/2 + 3*im(asin(y/2))^2/4 + 1/3
    © Sr Examen – Калькулятор