(2x^2+9x-5)/(x^2+2x-15)

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Solution for (2x^2+9x-5)/(x^2+2x-15) equation: 


D( x )

x^2+2*x-15 = 0

x^2+2*x-15 = 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 = (-64^(1/2)-2)/(1*2)

x = 3 or x = -5

x in (-oo:-5) U (-5:3) U (3:+oo)

(2*x^2+9*x-5)/(x^2+2*x-15) = 0

2*x^2+9*x-5 = 0

2*x^2+9*x-5 = 0

DELTA = 9^2-(-5*2*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-9)/(2*2) or x = (-121^(1/2)-9)/(2*2)

x = 1/2 or x = -5

(x+5)*(x-1/2) = 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 = (-64^(1/2)-2)/(1*2)

x = 3 or x = -5

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

((x+5)*(x-1/2))/((x+5)*(x-3)) = 0

( x+5 )

x+5 = 0 // - 5

x = -5

( x-1/2 )

x-1/2 = 0 // + 1/2

x = 1/2

x in { -5} 

x = 1/2

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