(-3x^(2)-18x+35)/((x-5)(x+5))

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Solution for (-3x^(2)-18x+35)/((x-5)(x+5)) equation: 


D( x )

(x-5)*(x+5) = 0

(x-5)*(x+5) = 0

(x-5)*(x+5) = 0

( x+5 )

x+5 = 0 // - 5

x = -5

( x-5 )

x-5 = 0 // + 5

x = 5

x in (-oo:-5) U (-5:5) U (5:+oo)

(35-3*x^2-(18*x))/((x-5)*(x+5)) = 0

(35-3*x^2-18*x)/((x-5)*(x+5)) = 0

35-3*x^2-18*x = 0

35-3*x^2-18*x = 0

DELTA = (-18)^2-(-3*4*35)

DELTA = 744

DELTA > 0

x = (744^(1/2)+18)/(-3*2) or x = (18-744^(1/2))/(-3*2)

x = (2*186^(1/2)+18)/(-6) or x = (18-2*186^(1/2))/(-6)

(x-((2*186^(1/2)+18)/(-6)))*(x-((18-2*186^(1/2))/(-6))) = 0

((x-((2*186^(1/2)+18)/(-6)))*(x-((18-2*186^(1/2))/(-6))))/((x-5)*(x+5)) = 0

( x-((18-2*186^(1/2))/(-6)) )

x-((18-2*186^(1/2))/(-6)) = 0 // + (18-2*186^(1/2))/(-6)

x = (18-2*186^(1/2))/(-6)

( x-((2*186^(1/2)+18)/(-6)) )

x-((2*186^(1/2)+18)/(-6)) = 0 // + (2*186^(1/2)+18)/(-6)

x = (2*186^(1/2)+18)/(-6)

x in { (18-2*186^(1/2))/(-6), (2*186^(1/2)+18)/(-6) }

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