((2x^2)+5x-3)/((2x^2)-18)

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Solution for ((2x^2)+5x-3)/((2x^2)-18) equation: 


D( x )

2*x^2-18 = 0

2*x^2-18 = 0

2*x^2-18 = 0

2*x^2 = 18 // : 2

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

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

(2*x^2+5*x-3)/(2*x^2-18) = 0

2*x^2+5*x-3 = 0

2*x^2+5*x-3 = 0

DELTA = 5^2-(-3*2*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(2*2) or x = (-49^(1/2)-5)/(2*2)

x = 1/2 or x = -3

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

((x+3)*(x-1/2))/(2*x^2-18) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-1/2 )

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

x = 1/2

x in { -3} 

x = 1/2

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