Sr Examen

Otras calculadoras

Simplificación de expresiones/ Descomposición en fracciones simples/ sqrt((5-2*x)*(6-x))*(-17/2+2*x)/((5-2*x)*(6-x))

¿Cómo vas a descomponer esta sqrt((5-2*x)*(6-x))*(-17/2+2*x)/((5-2*x)*(6-x)) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
  ___________________              
\/ (5 - 2*x)*(6 - x) *(-17/2 + 2*x)
-----------------------------------
         (5 - 2*x)*(6 - x)
(5−2x)(6−x)(2x−172)(5−2x)(6−x)\frac{\sqrt{\left(5 - 2 x\right) \left(6 - x\right)} \left(2 x - \frac{17}{2}\right)}{\left(5 - 2 x\right) \left(6 - x\right)} 
(sqrt((5 - 2*x)*(6 - x))*(-17/2 + 2*x))/(((5 - 2*x)*(6 - x)))
Simplificación general [src] 
       -17 + 4*x       
-----------------------
     __________________
    /                2 
2*\/  30 - 17*x + 2*x
4x−1722x2−17x+30\frac{4 x - 17}{2 \sqrt{2 x^{2} - 17 x + 30}} 
(-17 + 4*x)/(2*sqrt(30 - 17*x + 2*x^2))
Respuesta numérica [src] 
((6.0 - x)*(5.0 - 2.0*x))^0.5*(-8.5 + 2.0*x)/((6.0 - x)*(5.0 - 2.0*x))
((6.0 - x)*(5.0 - 2.0*x))^0.5*(-8.5 + 2.0*x)/((6.0 - x)*(5.0 - 2.0*x))
Denominador racional [src] 
  ___________________            
\/ (5 - 2*x)*(6 - x) *(-17 + 4*x)
---------------------------------
       2*(5 - 2*x)*(6 - x)
(5−2x)(6−x)(4x−17)2(5−2x)(6−x)\frac{\sqrt{\left(5 - 2 x\right) \left(6 - x\right)} \left(4 x - 17\right)}{2 \left(5 - 2 x\right) \left(6 - x\right)} 
sqrt((5 - 2*x)*(6 - x))*(-17 + 4*x)/(2*(5 - 2*x)*(6 - x))
Unión de expresiones racionales [src] 
  ___________________            
\/ (5 - 2*x)*(6 - x) *(-17 + 4*x)
---------------------------------
       2*(5 - 2*x)*(6 - x)
(5−2x)(6−x)(4x−17)2(5−2x)(6−x)\frac{\sqrt{\left(5 - 2 x\right) \left(6 - x\right)} \left(4 x - 17\right)}{2 \left(5 - 2 x\right) \left(6 - x\right)} 
sqrt((5 - 2*x)*(6 - x))*(-17 + 4*x)/(2*(5 - 2*x)*(6 - x))
Combinatoria [src] 
  _____________________            
\/ (-6 + x)*(-5 + 2*x) *(-17 + 4*x)
-----------------------------------
       2*(-6 + x)*(-5 + 2*x)
(x−6)(2x−5)(4x−17)2(x−6)(2x−5)\frac{\sqrt{\left(x - 6\right) \left(2 x - 5\right)} \left(4 x - 17\right)}{2 \left(x - 6\right) \left(2 x - 5\right)} 
sqrt((-6 + x)*(-5 + 2*x))*(-17 + 4*x)/(2*(-6 + x)*(-5 + 2*x))
Denominador común [src] 
       -17 + 4*x       
-----------------------
     __________________
    /                2 
2*\/  30 - 17*x + 2*x
4x−1722x2−17x+30\frac{4 x - 17}{2 \sqrt{2 x^{2} - 17 x + 30}} 
(-17 + 4*x)/(2*sqrt(30 - 17*x + 2*x^2))
Abrimos la expresión [src] 
     -17/2 + 2*x     
---------------------
  _________   _______
\/ 5 - 2*x *\/ 6 - x
2x−1725−2x6−x\frac{2 x - \frac{17}{2}}{\sqrt{5 - 2 x} \sqrt{6 - x}} 
(-17/2 + 2*x)/(sqrt(5 - 2*x)*sqrt(6 - x))
    © Sr Examen – Калькулятор