y=-3/2x^2-6x+2

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Solution for y=-3/2x^2-6x+2 equation:


x in (-oo:+oo)

y = (-3/2)*x^2-(6*x)+2 // - (-3/2)*x^2-(6*x)+2

6*x-((-3/2)*x^2)+y-2 = 0

(3/2)*x^2+6*x+y-2 = 0

3/2*x^2+6*x+y-2 = 0

DELTA = 6^2-(3/2*4*(y-2))

DELTA = 36-6*(y-2)

36-6*(y-2) = 0

36-6*(y-2) = 0

48-6*y = 0

48-6*y = 0

48-6*y = 0 // - 48

-6*y = -48 // : -6

y = -48/(-6)

y = 8

DELTA = 0 <=> t_1 = 8

x = -6/(3/2*2) i y = 8

x = -2 i y = 8

( x = ((36-6*(y-2))^(1/2)-6)/(3/2*2) or x = (-(36-6*(y-2))^(1/2)-6)/(3/2*2) ) i y > 8

( x = ((36-6*(y-2))^(1/2)-6)/3 or x = (-((36-6*(y-2))^(1/2)+6))/3 ) i y > 8

y-8 > 0

y-8 > 0 // + 8

y > 8

x in { -2, ((36-6*(y-2))^(1/2)-6)/3, (-((36-6*(y-2))^(1/2)+6))/3 }

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