x/2+(x-1)2=0.9

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Solution for x/2+(x-1)2=0.9 equation: 


x in (-oo:+oo)

(x-1)^2+x/2 = 0.9 // - 0.9

(x-1)^2+x/2-0.9 = 0

(2*(x-1)^2)/2+x/2+(-0.9*2)/2 = 0

2*(x-1)^2+x-0.9*2 = 0

2*x^2-3*x-1.8+2 = 0

2*x^2-3*x+0.2 = 0

2*x^2-3*x+0.2 = 0

2*x^2-3*x+0.2 = 0

DELTA = (-3)^2-(0.2*2*4)

DELTA = 7.4

DELTA > 0

x = (7.4^(1/2)+3)/(2*2) or x = (3-7.4^(1/2))/(2*2)

x = (7.4^(1/2)+3)/4 or x = (3-7.4^(1/2))/4

(x-((3-7.4^(1/2))/4))*(x-((7.4^(1/2)+3)/4)) = 0

((x-((3-7.4^(1/2))/4))*(x-((7.4^(1/2)+3)/4)))/2 = 0

((x-((3-7.4^(1/2))/4))*(x-((7.4^(1/2)+3)/4)))/2 = 0 // * 2

(x-((3-7.4^(1/2))/4))*(x-((7.4^(1/2)+3)/4)) = 0

( x-((3-7.4^(1/2))/4) )

x-((3-7.4^(1/2))/4) = 0 // + (3-7.4^(1/2))/4

x = (3-7.4^(1/2))/4

( x-((7.4^(1/2)+3)/4) )

x-((7.4^(1/2)+3)/4) = 0 // + (7.4^(1/2)+3)/4

x = (7.4^(1/2)+3)/4

x in { (3-7.4^(1/2))/4, (7.4^(1/2)+3)/4 }

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