Y=-2/315x^2+4x

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Solution for Y=-2/315x^2+4x equation:


x in (-oo:+oo)

Y = (-2/315)*x^2+4*x // - (-2/315)*x^2+4*x

Y-((-2/315)*x^2)-(4*x) = 0

Y+(2/315)*x^2-4*x = 0

Y+2/315*x^2-4*x = 0

DELTA = (-4)^2-(2/315*4*Y)

DELTA = 16-8/315*Y

16-8/315*Y = 0

16-8/315*Y = 0 // - 16

-8/315*Y = -16 // : -8/315

Y = -16/(-8/315)

Y = 630

DELTA = 0 <=> t_1 = 630

x = 4/(2/315*2) i Y = 630

x = 315 i Y = 630

( x = ((16-8/315*Y)^(1/2)+4)/(2/315*2) or x = (4-(16-8/315*Y)^(1/2))/(2/315*2) ) i Y > 630

( x = 315/4*((16-8/315*Y)^(1/2)+4) or x = 315/4*(4-(16-8/315*Y)^(1/2)) ) i Y > 630

Y-630 > 0

Y-630 > 0 // + 630

Y > 630

x in { 315, 315/4*((16-8/315*Y)^(1/2)+4), 315/4*(4-(16-8/315*Y)^(1/2)) }

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