(5x^2-28x-10)/(x+6)

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Solution for (5x^2-28x-10)/(x+6) equation:


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

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

(5*x^2-(28*x)-10)/(x+6) = 0

(5*x^2-28*x-10)/(x+6) = 0

5*x^2-28*x-10 = 0

5*x^2-28*x-10 = 0

DELTA = (-28)^2-(-10*4*5)

DELTA = 984

DELTA > 0

x = (984^(1/2)+28)/(2*5) or x = (28-984^(1/2))/(2*5)

x = (2*246^(1/2)+28)/10 or x = (28-2*246^(1/2))/10

(x-((28-2*246^(1/2))/10))*(x-((2*246^(1/2)+28)/10)) = 0

((x-((28-2*246^(1/2))/10))*(x-((2*246^(1/2)+28)/10)))/(x+6) = 0

( x-((2*246^(1/2)+28)/10) )

x-((2*246^(1/2)+28)/10) = 0 // + (2*246^(1/2)+28)/10

x = (2*246^(1/2)+28)/10

( x-((28-2*246^(1/2))/10) )

x-((28-2*246^(1/2))/10) = 0 // + (28-2*246^(1/2))/10

x = (28-2*246^(1/2))/10

x in { (2*246^(1/2)+28)/10, (28-2*246^(1/2))/10 }

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