Sr Examen

Otras calculadoras

√x-2+√x+6=12/x 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] 
  ___         ___       12
\/ x  - 2 + \/ x  + 6 = --
                        x
(x+(x−2))+6=12x\left(\sqrt{x} + \left(\sqrt{x} - 2\right)\right) + 6 = \frac{12}{x}
Simplificar
Gráfica
02468-8-6-4-210-5000050000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
             ________________                         
     4      / 118       ____              56          
x1 = - + 3 /  --- + 2*\/ 65   - ----------------------
     3   \/    27                     ________________
                                     / 118       ____ 
                                9*3 /  --- + 2*\/ 65  
                                  \/    27
x1=−56911827+2653+43+11827+2653x_{1} = - \frac{56}{9 \sqrt[3]{\frac{118}{27} + 2 \sqrt{65}}} + \frac{4}{3} + \sqrt[3]{\frac{118}{27} + 2 \sqrt{65}} 
x1 = -56/(9*(118/27 + 2*sqrt(65))^(1/3)) + 4/3 + (118/27 + 2*sqrt(65))^(1/3)
Suma y producto de raíces [src] 
suma
        ________________                         
4      / 118       ____              56          
- + 3 /  --- + 2*\/ 65   - ----------------------
3   \/    27                     ________________
                                / 118       ____ 
                           9*3 /  --- + 2*\/ 65  
                             \/    27
−56911827+2653+43+11827+2653- \frac{56}{9 \sqrt[3]{\frac{118}{27} + 2 \sqrt{65}}} + \frac{4}{3} + \sqrt[3]{\frac{118}{27} + 2 \sqrt{65}} 
=
        ________________                         
4      / 118       ____              56          
- + 3 /  --- + 2*\/ 65   - ----------------------
3   \/    27                     ________________
                                / 118       ____ 
                           9*3 /  --- + 2*\/ 65  
                             \/    27
−56911827+2653+43+11827+2653- \frac{56}{9 \sqrt[3]{\frac{118}{27} + 2 \sqrt{65}}} + \frac{4}{3} + \sqrt[3]{\frac{118}{27} + 2 \sqrt{65}} 
producto
        ________________                         
4      / 118       ____              56          
- + 3 /  --- + 2*\/ 65   - ----------------------
3   \/    27                     ________________
                                / 118       ____ 
                           9*3 /  --- + 2*\/ 65  
                             \/    27
−56911827+2653+43+11827+2653- \frac{56}{9 \sqrt[3]{\frac{118}{27} + 2 \sqrt{65}}} + \frac{4}{3} + \sqrt[3]{\frac{118}{27} + 2 \sqrt{65}} 
=
                                     ________________
               2/3          3 ___ 3 /           ____ 
4          28*2             \/ 2 *\/  59 + 27*\/ 65  
- - --------------------- + -------------------------
3        ________________               3            
      3 /           ____                             
    3*\/  59 + 27*\/ 65
−28⋅223359+27653+43+2359+276533- \frac{28 \cdot 2^{\frac{2}{3}}}{3 \sqrt[3]{59 + 27 \sqrt{65}}} + \frac{4}{3} + \frac{\sqrt[3]{2} \sqrt[3]{59 + 27 \sqrt{65}}}{3} 
4/3 - 28*2^(2/3)/(3*(59 + 27*sqrt(65))^(1/3)) + 2^(1/3)*(59 + 27*sqrt(65))^(1/3)/3
Respuesta numérica [src] 
x1 = 1.79627228766173
x1 = 1.79627228766173
    © Sr Examen – Калькулятор