3/(((9x-3)/9x)-9)

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Solution for 3/(((9x-3)/9x)-9) equation:


D( x )

x*((9*x-3)/9)-9 = 0

x*((9*x-3)/9)-9 = 0

x*((9*x-3)/9)-9 = 0

(x*(9*x-3))/9-9 = 0

(x*(9*x-3))/9+(-9*9)/9 = 0

x*(9*x-3)-9*9 = 0

9*x^2-3*x-81 = 0

9*x^2-3*x-81 = 0

3*(3*x^2-x-27) = 0

3*x^2-x-27 = 0

DELTA = (-1)^2-(-27*3*4)

DELTA = 325

DELTA > 0

x = (325^(1/2)+1)/(2*3) or x = (1-325^(1/2))/(2*3)

x = (5*13^(1/2)+1)/6 or x = (1-5*13^(1/2))/6

3*(x-((1-5*13^(1/2))/6))*(x-((5*13^(1/2)+1)/6)) = 0

(3*(x-((1-5*13^(1/2))/6))*(x-((5*13^(1/2)+1)/6)))/9 = 0

(3*(x-((1-5*13^(1/2))/6))*(x-((5*13^(1/2)+1)/6)))/9 = 0 // * 9

3*(x-((1-5*13^(1/2))/6))*(x-((5*13^(1/2)+1)/6)) = 0

( 3 )

3 = 0

x belongs to the empty set

( x-((1-5*13^(1/2))/6) )

x-((1-5*13^(1/2))/6) = 0 // + (1-5*13^(1/2))/6

x = (1-5*13^(1/2))/6

( x-((5*13^(1/2)+1)/6) )

x-((5*13^(1/2)+1)/6) = 0 // + (5*13^(1/2)+1)/6

x = (5*13^(1/2)+1)/6

x in (-oo:(1-5*13^(1/2))/6) U ((1-5*13^(1/2))/6:(5*13^(1/2)+1)/6) U ((5*13^(1/2)+1)/6:+oo)

3/(x*((9*x-3)/9)-9) = 0

3/((x*(9*x-3))/9-9) = 0

(x*(9*x-3))/9-9 = 0

(x*(9*x-3))/9+(-9*9)/9 = 0

x*(9*x-3)-9*9 = 0

9*x^2-3*x-81 = 0

9*x^2-3*x-81 = 0

3*(3*x^2-x-27) = 0

3*x^2-x-27 = 0

DELTA = (-1)^2-(-27*3*4)

DELTA = 325

DELTA > 0

x = (325^(1/2)+1)/(2*3) or x = (1-325^(1/2))/(2*3)

x = (5*13^(1/2)+1)/6 or x = (1-5*13^(1/2))/6

3*(x-((1-5*13^(1/2))/6))*(x-((5*13^(1/2)+1)/6)) = 0

(3*(x-((1-5*13^(1/2))/6))*(x-((5*13^(1/2)+1)/6)))/9 = 0

(3*(x-((1-5*13^(1/2))/6))*(x-((5*13^(1/2)+1)/6)))/9 = 0 // * 9

3*(x-((1-5*13^(1/2))/6))*(x-((5*13^(1/2)+1)/6)) = 0

3/(3*(x-((1-5*13^(1/2))/6))*(x-((5*13^(1/2)+1)/6))) = 0

3 = 0

x belongs to the empty set

x belongs to the empty set

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