(2-3x-x^2)/(2-4x^2)=50

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Solution for (2-3x-x^2)/(2-4x^2)=50 equation: 


D( x )

2-(4*x^2) = 0

2-(4*x^2) = 0

2-(4*x^2) = 0

2-4*x^2 = 0

-4*x^2 = -2 // : -4

x^2 = 1/2

x^2 = 1/2 // ^ 1/2

abs(x) = (1/2)^(1/2)

x = (1/2)^(1/2) or x = -(1/2)^(1/2)

x in (-oo:-(1/2)^(1/2)) U (-(1/2)^(1/2):(1/2)^(1/2)) U ((1/2)^(1/2):+oo)

(2-x^2-(3*x))/(2-(4*x^2)) = 50 // - 50

(2-x^2-(3*x))/(2-(4*x^2))-50 = 0

(2-x^2-3*x)/(2-4*x^2)-50 = 0

(2-x^2-3*x)/(2-4*x^2)+(-50*(2-4*x^2))/(2-4*x^2) = 0

2-50*(2-4*x^2)-x^2-3*x = 0

199*x^2-3*x-98 = 0

199*x^2-3*x-98 = 0

199*x^2-3*x-98 = 0

DELTA = (-3)^2-(-98*4*199)

DELTA = 78017

DELTA > 0

x = (78017^(1/2)+3)/(2*199) or x = (3-78017^(1/2))/(2*199)

x = (78017^(1/2)+3)/398 or x = (3-78017^(1/2))/398

(x-((3-78017^(1/2))/398))*(x-((78017^(1/2)+3)/398)) = 0

((x-((3-78017^(1/2))/398))*(x-((78017^(1/2)+3)/398)))/(2-4*x^2) = 0

((x-((3-78017^(1/2))/398))*(x-((78017^(1/2)+3)/398)))/(2-4*x^2) = 0 // * 2-4*x^2

(x-((3-78017^(1/2))/398))*(x-((78017^(1/2)+3)/398)) = 0

( x-((3-78017^(1/2))/398) )

x-((3-78017^(1/2))/398) = 0 // + (3-78017^(1/2))/398

x = (3-78017^(1/2))/398

( x-((78017^(1/2)+3)/398) )

x-((78017^(1/2)+3)/398) = 0 // + (78017^(1/2)+3)/398

x = (78017^(1/2)+3)/398

x in { (3-78017^(1/2))/398, (78017^(1/2)+3)/398 }

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