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D( x )
2*x^2+5*x-3 = 0
2*x^2+5*x-3 = 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 in (-oo:-3) U (-3:1/2) U (1/2:+oo)
(x^2-(2*x)-15)/(2*x^2+5*x-3) = 0
(x^2-2*x-15)/(2*x^2+5*x-3) = 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+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-5))/((x+3)*(x-1/2)) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-5 )
x-5 = 0 // + 5
x = 5
x in { -3}
x = 5
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