(5x^2-22x-15)/(x-5)

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Solution for (5x^2-22x-15)/(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)

(5*x^2-(22*x)-15)/(x-5) = 0

(5*x^2-22*x-15)/(x-5) = 0

5*x^2-22*x-15 = 0

5*x^2-22*x-15 = 0

DELTA = (-22)^2-(-15*4*5)

DELTA = 784

DELTA > 0

x = (784^(1/2)+22)/(2*5) or x = (22-784^(1/2))/(2*5)

x = 5 or x = -3/5

(x+3/5)*(x-5) = 0

x+3/5 = 0

x+3/5 = 0 // - 3/5

x = -3/5

x = -3/5

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