(12x^2-5x-8)/(7x-6)

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Solution for (12x^2-5x-8)/(7x-6) equation:


D( x )

7*x-6 = 0

7*x-6 = 0

7*x-6 = 0

7*x-6 = 0 // + 6

7*x = 6 // : 7

x = 6/7

x in (-oo:6/7) U (6/7:+oo)

(12*x^2-(5*x)-8)/(7*x-6) = 0

(12*x^2-5*x-8)/(7*x-6) = 0

12*x^2-5*x-8 = 0

12*x^2-5*x-8 = 0

DELTA = (-5)^2-(-8*4*12)

DELTA = 409

DELTA > 0

x = (409^(1/2)+5)/(2*12) or x = (5-409^(1/2))/(2*12)

x = (409^(1/2)+5)/24 or x = (5-409^(1/2))/24

(x-((5-409^(1/2))/24))*(x-((409^(1/2)+5)/24)) = 0

((x-((5-409^(1/2))/24))*(x-((409^(1/2)+5)/24)))/(7*x-6) = 0

( x-((409^(1/2)+5)/24) )

x-((409^(1/2)+5)/24) = 0 // + (409^(1/2)+5)/24

x = (409^(1/2)+5)/24

( x-((5-409^(1/2))/24) )

x-((5-409^(1/2))/24) = 0 // + (5-409^(1/2))/24

x = (5-409^(1/2))/24

x in { (409^(1/2)+5)/24, (5-409^(1/2))/24 }

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