-5.5-a-((2.5-3a)/(2-4a))

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Solution for -5.5-a-((2.5-3a)/(2-4a)) equation:


D( a )

2-(4*a) = 0

2-(4*a) = 0

2-(4*a) = 0

2-4*a = 0

2-4*a = 0 // - 2

-4*a = -2 // : -4

a = -2/(-4)

a = 1/2

a in (-oo:1/2) U (1/2:+oo)

-((2.5-(3*a))/(2-(4*a)))-a-5.5 = 0

-((2.5-3*a)/(2-4*a))-a-5.5 = 0

(-1*(2.5-3*a))/(2-4*a)-a-5.5 = 0

(-1*(2.5-3*a))/(2-4*a)+(-a*(2-4*a))/(2-4*a)+(-5.5*(2-4*a))/(2-4*a) = 0

-1*(2.5-3*a)-a*(2-4*a)-5.5*(2-4*a) = 0

4*a^2+a+22*a-11-2.5 = 0

4*a^2+23*a-13.5 = 0

4*a^2+23*a-13.5 = 0

4*a^2+23*a-13.5 = 0

DELTA = 23^2-(-13.5*4*4)

DELTA = 745

DELTA > 0

a = (745^(1/2)-23)/(2*4) or a = (-745^(1/2)-23)/(2*4)

a = (745^(1/2)-23)/8 or a = (-(745^(1/2)+23))/8

(a+(745^(1/2)+23)/8)*(a-((745^(1/2)-23)/8)) = 0

((a+(745^(1/2)+23)/8)*(a-((745^(1/2)-23)/8)))/(2-4*a) = 0

((a+(745^(1/2)+23)/8)*(a-((745^(1/2)-23)/8)))/(2-4*a) = 0 // * 2-4*a

(a+(745^(1/2)+23)/8)*(a-((745^(1/2)-23)/8)) = 0

( a+(745^(1/2)+23)/8 )

a+(745^(1/2)+23)/8 = 0 // - (745^(1/2)+23)/8

a = -((745^(1/2)+23)/8)

( a-((745^(1/2)-23)/8) )

a-((745^(1/2)-23)/8) = 0 // + (745^(1/2)-23)/8

a = (745^(1/2)-23)/8

a in { -((745^(1/2)+23)/8), (745^(1/2)-23)/8 }

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