X+x1/2x+1/2x=360

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Solution for X+x1/2x+1/2x=360 equation:


x in (-oo:+oo)

X+((x^1)/2)*x+(1/2)*x = 360 // - 360

X+((x^1)/2)*x+(1/2)*x-360 = 0

X+(x/2)*x+(1/2)*x-360 = 0

X+1/2*x^2+1/2*x-360 = 0

DELTA = (1/2)^2-(1/2*4*(X-360))

DELTA = 1/4-2*(X-360)

1/4-2*(X-360) = 0

(-2*4*(X-360))/4+1/4 = 0

1-2*4*(X-360) = 0

2881-8*X = 0

(2881-8*X)/4 = 0

(2881-8*X)/4 = 0 // * 4

2881-8*X = 0

2881-8*X = 0 // - 2881

-8*X = -2881 // : -8

X = -2881/(-8)

X = 2881/8

DELTA = 0 <=> t_1 = 2881/8

x = -1/2/(1/2*2) i X = 2881/8

x = -1/2 i X = 2881/8

( x = ((1/4-2*(X-360))^(1/2)-1/2)/(1/2*2) or x = (-(1/4-2*(X-360))^(1/2)-1/2)/(1/2*2) ) i X > 2881/8

( x = (1/4-2*(X-360))^(1/2)-1/2 or x = -((1/4-2*(X-360))^(1/2)+1/2) ) i X > 2881/8

X-2881/8 > 0

X-2881/8 > 0 // + 2881/8

X > 2881/8

x in { -1/2, (1/4-2*(X-360))^(1/2)-1/2, -((1/4-2*(X-360))^(1/2)+1/2) }

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