(2x^2-2x-48)/(x-5)

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Solution for (2x^2-2x-48)/(x-5) equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

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

(2*x^2-(2*x)-48)/(x-5) = 0

(2*x^2-2*x-48)/(x-5) = 0

2*x^2-2*x-48 = 0

2*(x^2-x-24) = 0

x^2-x-24 = 0

DELTA = (-1)^2-(-24*1*4)

DELTA = 97

DELTA > 0

x = (97^(1/2)+1)/(1*2) or x = (1-97^(1/2))/(1*2)

x = (97^(1/2)+1)/2 or x = (1-97^(1/2))/2

2*(x-((1-97^(1/2))/2))*(x-((97^(1/2)+1)/2)) = 0

(2*(x-((1-97^(1/2))/2))*(x-((97^(1/2)+1)/2)))/(x-5) = 0

( x-((1-97^(1/2))/2) )

x-((1-97^(1/2))/2) = 0 // + (1-97^(1/2))/2

x = (1-97^(1/2))/2

( x-((97^(1/2)+1)/2) )

x-((97^(1/2)+1)/2) = 0 // + (97^(1/2)+1)/2

x = (97^(1/2)+1)/2

x in { (1-97^(1/2))/2, (97^(1/2)+1)/2 }

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