((3x+6)*x+65-47)/x-54+23=1765

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Solution for ((3x+6)*x+65-47)/x-54+23=1765 equation:


D( x )

x = 0

x = 0

x = 0

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

(x*(3*x+6)-47+65)/x-54+23 = 1765 // - 1765

(x*(3*x+6)-47+65)/x-1765-54+23 = 0

(x*(3*x+6)-47+65)/x+(-1765*x)/x+(-54*x)/x+(23*x)/x = 0

x*(3*x+6)-1765*x-54*x+23*x-47+65 = 0

3*x^2+6*x-1765*x-54*x+23*x-47+65 = 0

3*x^2+6*x-1765*x-54*x+23*x+18 = 0

3*x^2-1759*x-54*x+23*x+18 = 0

3*x^2-1813*x+23*x+18 = 0

3*x^2-1790*x+18 = 0

3*x^2-1790*x+18 = 0

3*x^2-1790*x+18 = 0

DELTA = (-1790)^2-(3*4*18)

DELTA = 3203884

DELTA > 0

x = (3203884^(1/2)+1790)/(2*3) or x = (1790-3203884^(1/2))/(2*3)

x = (2*800971^(1/2)+1790)/6 or x = (1790-2*800971^(1/2))/6

(x-((1790-2*800971^(1/2))/6))*(x-((2*800971^(1/2)+1790)/6)) = 0

((x-((1790-2*800971^(1/2))/6))*(x-((2*800971^(1/2)+1790)/6)))/x = 0

((x-((1790-2*800971^(1/2))/6))*(x-((2*800971^(1/2)+1790)/6)))/x = 0 // * x

(x-((1790-2*800971^(1/2))/6))*(x-((2*800971^(1/2)+1790)/6)) = 0

( x-((1790-2*800971^(1/2))/6) )

x-((1790-2*800971^(1/2))/6) = 0 // + (1790-2*800971^(1/2))/6

x = (1790-2*800971^(1/2))/6

( x-((2*800971^(1/2)+1790)/6) )

x-((2*800971^(1/2)+1790)/6) = 0 // + (2*800971^(1/2)+1790)/6

x = (2*800971^(1/2)+1790)/6

x in { (1790-2*800971^(1/2))/6, (2*800971^(1/2)+1790)/6 }

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