(x^2+2x-8)/(5x-10)

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Solution for (x^2+2x-8)/(5x-10) equation:


D( x )

5*x-10 = 0

5*x-10 = 0

5*x-10 = 0

5*x-10 = 0 // + 10

5*x = 10 // : 5

x = 10/5

x = 2

x in (-oo:2) U (2:+oo)

(x^2+2*x-8)/(5*x-10) = 0

x^2+2*x-8 = 0

x^2+2*x-8 = 0

DELTA = 2^2-(-8*1*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)-2)/(1*2) or x = (-36^(1/2)-2)/(1*2)

x = 2 or x = -4

(x+4)*(x-2) = 0

((x+4)*(x-2))/(5*x-10) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 2}

x = -4

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