(x^2-2x-15)/(2x^2-10x)

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Solution for (x^2-2x-15)/(2x^2-10x) equation:


D( x )

2*x^2-(10*x) = 0

2*x^2-(10*x) = 0

2*x^2-(10*x) = 0

2*x^2-10*x = 0

2*x^2-10*x = 0

DELTA = (-10)^2-(0*2*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+10)/(2*2) or x = (10-100^(1/2))/(2*2)

x = 5 or x = 0

x in (-oo:0) U (0:5) U (5:+oo)

(x^2-(2*x)-15)/(2*x^2-(10*x)) = 0

(x^2-2*x-15)/(2*x^2-10*x) = 0

x^2-2*x-15 = 0

x^2-2*x-15 = 0

DELTA = (-2)^2-(-15*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)

x = 5 or x = -3

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

2*x^2-10*x = 0

2*x*(x-5) = 0

x-5 = 0 // + 5

x = 5

2*x*(x-5) = 0

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

( x+3 )

x+3 = 0 // - 3

x = -3

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 5}

x = -3

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