6x-15/x-3;3x^2-7x-6/4x^2-25

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Solution for 6x-15/x-3;3x^2-7x-6/4x^2-25 system of equations: 


  • /| 6*x-(15/x)-3 = 0| 3*x^2-((6/4)*x^2)-(7*x)-25 = 0
  • We try to solve the equation: 3*x^2-((6/4)*x^2)-(7*x)-25 = 0
  • 3/2*x^2-7*x-25 = 0
  • DELTA = (-7)^2-(-25*3/2*4)
  • DELTA = 199
  • DELTA > 0, so the uquation has 2 solutions
  • x = (199^(1/2)+7)/(3/2*2) or x = (7-199^(1/2))/(3/2*2)
  • x = (199^(1/2)+7)/3 or x = (7-199^(1/2))/3
  • We insert the solution into one of the initial equations of our system of equations
  • 1) For x = (7-199^(1/2))/3
  • We get a system of equations:
  • /| 6*((7-199^(1/2))/3)-(15/((7-199^(1/2))/3))-3 = 0| x = (7-199^(1/2))/3
  • 2) For x = (199^(1/2)+7)/3
  • We get a system of equations:
  • /| 6*((199^(1/2)+7)/3)-(15/((199^(1/2)+7)/3))-3 = 0| x = (199^(1/2)+7)/3
  • /| 6*((7-199^(1/2))/3)-(15/((7-199^(1/2))/3))-3 = 0| x = (7-199^(1/2))/3
  • 6*((7-199^(1/2))/3)-(15/((7-199^(1/2))/3))-3 = 0
  • 6*((7-199^(1/2))/3)-(15/((7-(1*199^(1/2)))/3))-3 = 0
  • 6*((7-199^(1/2))/3)-(15/((7-199^(1/2))/3))-3 = 0
  • 6*((7-199^(1/2))/3)-(45*(7-199^(1/2))^-1)-3 = 0
  • 6*((7-199^(1/2))/3)-45*(7-199^(1/2))^-1-3 = 0
  • 6*((7-(1*199^(1/2)))/3)-45*(7-199^(1/2))^-1-3 = 0
  • 6*((7-199^(1/2))/3)-45*(7-199^(1/2))^-1-3 = 0
  • (6*(7-199^(1/2)))/3-45*(7-199^(1/2))^-1-3 = 0
  • 2*(7-199^(1/2))-45*(7-199^(1/2))^-1-3 = 0
  • The system of equations does not have any solution
  • /| 6*((199^(1/2)+7)/3)-(15/((199^(1/2)+7)/3))-3 = 0| x = (199^(1/2)+7)/3
  • 6*((199^(1/2)+7)/3)-(15/((199^(1/2)+7)/3))-3 = 0
  • 6*((199^(1/2)+7)/3)-(15/((1*199^(1/2)+7)/3))-3 = 0
  • 6*((199^(1/2)+7)/3)-(15/((199^(1/2)+7)/3))-3 = 0
  • 6*((199^(1/2)+7)/3)-(45*(199^(1/2)+7)^-1)-3 = 0
  • 6*((199^(1/2)+7)/3)-45*(199^(1/2)+7)^-1-3 = 0
  • 6*((1*199^(1/2)+7)/3)-45*(199^(1/2)+7)^-1-3 = 0
  • 6*((199^(1/2)+7)/3)-45*(199^(1/2)+7)^-1-3 = 0
  • (6*(199^(1/2)+7))/3-45*(199^(1/2)+7)^-1-3 = 0
  • 2*(199^(1/2)+7)-45*(199^(1/2)+7)^-1-3 = 0
  • The system of equations does not have any solution

 

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