(15x^2-23x-21)/(3x-7)

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Solution for (15x^2-23x-21)/(3x-7) equation:


D( x )

3*x-7 = 0

3*x-7 = 0

3*x-7 = 0

3*x-7 = 0 // + 7

3*x = 7 // : 3

x = 7/3

x in (-oo:7/3) U (7/3:+oo)

(15*x^2-(23*x)-21)/(3*x-7) = 0

(15*x^2-23*x-21)/(3*x-7) = 0

15*x^2-23*x-21 = 0

15*x^2-23*x-21 = 0

DELTA = (-23)^2-(-21*4*15)

DELTA = 1789

DELTA > 0

x = (1789^(1/2)+23)/(2*15) or x = (23-1789^(1/2))/(2*15)

x = (1789^(1/2)+23)/30 or x = (23-1789^(1/2))/30

(x-((23-1789^(1/2))/30))*(x-((1789^(1/2)+23)/30)) = 0

((x-((23-1789^(1/2))/30))*(x-((1789^(1/2)+23)/30)))/(3*x-7) = 0

( x-((1789^(1/2)+23)/30) )

x-((1789^(1/2)+23)/30) = 0 // + (1789^(1/2)+23)/30

x = (1789^(1/2)+23)/30

( x-((23-1789^(1/2))/30) )

x-((23-1789^(1/2))/30) = 0 // + (23-1789^(1/2))/30

x = (23-1789^(1/2))/30

x in { (1789^(1/2)+23)/30, (23-1789^(1/2))/30 }

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