6/a-36=36/7a

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Solution for 6/a-36=36/7a equation: 


D( a )

a = 0

a = 0

a = 0

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

6/a-36 = (36/7)*a // - (36/7)*a

6/a-((36/7)*a)-36 = 0

(-36/7)*a+6/a-36 = 0

6*a^-1-36/7*a^1-36*a^0 = 0

(6*a^0-36/7*a^2-36*a^1)/(a^1) = 0 // * a^2

a^1*(6*a^0-36/7*a^2-36*a^1) = 0

a^1

(-36/7)*a^2-36*a+6 = 0

(-36/7)*a^2-36*a+6 = 0

DELTA = (-36)^2-(4*6*(-36/7))

DELTA = 9936/7

DELTA > 0

a = ((9936/7)^(1/2)+36)/(2*(-36/7)) or a = (36-(9936/7)^(1/2))/(2*(-36/7))

a = -7/72*((9936/7)^(1/2)+36) or a = -7/72*(36-(9936/7)^(1/2))

a in { -7/72*((9936/7)^(1/2)+36), -7/72*(36-(9936/7)^(1/2))} 

a in { -7/72*((9936/7)^(1/2)+36), -7/72*(36-(9936/7)^(1/2)) }

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