b^2-5=4/b^2-36

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Solution for b^2-5=4/b^2-36 equation:


D( b )

b^2 = 0

b^2 = 0

b^2 = 0

1*b^2 = 0 // : 1

b^2 = 0

b = 0

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

b^2-5 = 4/(b^2)-36 // - 4/(b^2)-36

b^2-(4/(b^2))-5+36 = 0

b^2-4*b^-2-5+36 = 0

b^2-4*b^-2+31 = 0

t_1 = b^2

1*t_1^1-4*t_1^-1+31 = 0

1*t_1^1-4*t_1^-1+31*t_1^0 = 0

(1*t_1^2+31*t_1^1-4*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(1*t_1^2+31*t_1^1-4*t_1^0) = 0

t_1^1

t_1^2+31*t_1-4 = 0

t_1^2+31*t_1-4 = 0

DELTA = 31^2-(-4*1*4)

DELTA = 977

DELTA > 0

t_1 = (977^(1/2)-31)/(1*2) or t_1 = (-977^(1/2)-31)/(1*2)

t_1 = (977^(1/2)-31)/2 or t_1 = (-(977^(1/2)+31))/2

t_1 in { (-(977^(1/2)+31))/2, (977^(1/2)-31)/2}

t_1 = (-(977^(1/2)+31))/2

b^2-((-(977^(1/2)+31))/2) = 0

b^2+(1/2)*(977^(1/2)+31) = 0

1*b^2 = -(1/2*(977^(1/2)+31)) // : 1

b^2 = -1/2*(977^(1/2)+31)

t_1 = (977^(1/2)-31)/2

b^2-((977^(1/2)-31)/2) = 0

1*b^2 = (977^(1/2)-31)/2 // : 1

b^2 = (977^(1/2)-31)/2

b^2 = (977^(1/2)-31)/2 // ^ 1/2

abs(b) = ((977^(1/2)-31)^(1/2))/(2^(1/2))

b = ((977^(1/2)-31)^(1/2))/(2^(1/2)) or b = -(((977^(1/2)-31)^(1/2))/(2^(1/2)))

b in { ((977^(1/2)-31)^(1/2))/(2^(1/2)), -(((977^(1/2)-31)^(1/2))/(2^(1/2))) }

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