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

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


D( x )

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

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

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

2-x^2-3*x = 0

2-x^2-3*x = 0

DELTA = (-3)^2-(-1*2*4)

DELTA = 17

DELTA > 0

x = (17^(1/2)+3)/(-1*2) or x = (3-17^(1/2))/(-1*2)

x = (17^(1/2)+3)/(-2) or x = (3-17^(1/2))/(-2)

x in (-oo:(17^(1/2)+3)/(-2)) U ((17^(1/2)+3)/(-2):(3-17^(1/2))/(-2)) U ((3-17^(1/2))/(-2):+oo)

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

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

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

2-x^2-3*x = 0

2-x^2-3*x = 0

2-x^2-3*x = 0

DELTA = (-3)^2-(-1*2*4)

DELTA = 17

DELTA > 0

x = (17^(1/2)+3)/(-1*2) or x = (3-17^(1/2))/(-1*2)

x = (17^(1/2)+3)/(-2) or x = (3-17^(1/2))/(-2)

(x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2))) = 0

(2-4*x^2)/((x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2))))-50 = 0

(2-4*x^2)/((x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2))))+(-50*(x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2))))/((x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2)))) = 0

2-50*(x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2)))-4*x^2 = 0

(-25*(17^(1/2)+3)-25*(3-17^(1/2)))*x-54*x^2+(-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2 = 0

(-25*(17^(1/2)+3)-25*(3-17^(1/2)))*x-54*x^2+(-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2 = 0

(-25*(17^(1/2)+3)-25*(3-17^(1/2)))*x-54*x^2+(-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2 = 0

DELTA = (-25*(17^(1/2)+3)-25*(3-17^(1/2)))^2-(-54*4*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2))

DELTA = 216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500

DELTA = 1331.9999028

DELTA > 0

x = ((216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2)-(-25*(17^(1/2)+3))-(-25*(3-17^(1/2))))/(-54*2) or x = (-(-25*(17^(1/2)+3))-(-25*(3-17^(1/2)))-(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-54*2)

x = (25*(17^(1/2)+3)+25*(3-17^(1/2))+(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108) or x = (25*(17^(1/2)+3)+25*(3-17^(1/2))-(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)

(x-((25*(17^(1/2)+3)+25*(3-17^(1/2))+(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)))*(x-((25*(17^(1/2)+3)+25*(3-17^(1/2))-(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108))) = 0

((x-((25*(17^(1/2)+3)+25*(3-17^(1/2))+(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)))*(x-((25*(17^(1/2)+3)+25*(3-17^(1/2))-(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108))))/((x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2)))) = 0

((x-((25*(17^(1/2)+3)+25*(3-17^(1/2))+(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)))*(x-((25*(17^(1/2)+3)+25*(3-17^(1/2))-(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108))))/((x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2)))) = 0 // * (x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2)))

(x-((25*(17^(1/2)+3)+25*(3-17^(1/2))+(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)))*(x-((25*(17^(1/2)+3)+25*(3-17^(1/2))-(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108))) = 0

( x-((25*(17^(1/2)+3)+25*(3-17^(1/2))+(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)) )

x-((25*(17^(1/2)+3)+25*(3-17^(1/2))+(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)) = 0 // + (25*(17^(1/2)+3)+25*(3-17^(1/2))+(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)

x = (25*(17^(1/2)+3)+25*(3-17^(1/2))+(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)

( x-((25*(17^(1/2)+3)+25*(3-17^(1/2))-(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)) )

x-((25*(17^(1/2)+3)+25*(3-17^(1/2))-(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)) = 0 // + (25*(17^(1/2)+3)+25*(3-17^(1/2))-(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)

x = (25*(17^(1/2)+3)+25*(3-17^(1/2))-(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108)

x in { (25*(17^(1/2)+3)+25*(3-17^(1/2))+(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108), (25*(17^(1/2)+3)+25*(3-17^(1/2))-(216*((-25*(3-17^(1/2))*(17^(1/2)+3))/(-2)+2)+22500)^(1/2))/(-108) }

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