2(a-2)=-(a-1/a-4)

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Solution for 2(a-2)=-(a-1/a-4) equation:


D( a )

a = 0

a = 0

a = 0

a in (-oo:0) U (0:+oo)

2*(a-2) = -(a-(1/a)-4) // + a-(1/a)-4

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

2*(a-2)+a-a^-1-4 = 0

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

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

2*a*(a-2)+a^2-4*a-1 = 0

3*a^2-4*a-4*a-1 = 0

3*a^2-8*a-1 = 0

3*a^2-8*a-1 = 0

3*a^2-8*a-1 = 0

DELTA = (-8)^2-(-1*3*4)

DELTA = 76

DELTA > 0

a = (76^(1/2)+8)/(2*3) or a = (8-76^(1/2))/(2*3)

a = (2*19^(1/2)+8)/6 or a = (8-2*19^(1/2))/6

(a-((8-2*19^(1/2))/6))*(a-((2*19^(1/2)+8)/6)) = 0

((a-((8-2*19^(1/2))/6))*(a-((2*19^(1/2)+8)/6)))/a = 0

((a-((8-2*19^(1/2))/6))*(a-((2*19^(1/2)+8)/6)))/a = 0 // * a

(a-((8-2*19^(1/2))/6))*(a-((2*19^(1/2)+8)/6)) = 0

( a-((2*19^(1/2)+8)/6) )

a-((2*19^(1/2)+8)/6) = 0 // + (2*19^(1/2)+8)/6

a = (2*19^(1/2)+8)/6

( a-((8-2*19^(1/2))/6) )

a-((8-2*19^(1/2))/6) = 0 // + (8-2*19^(1/2))/6

a = (8-2*19^(1/2))/6

a in { (2*19^(1/2)+8)/6, (8-2*19^(1/2))/6 }

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