x+x/2+3+(x2+3)/2+1=30

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Solution for x+x/2+3+(x2+3)/2+1=30 equation: 


x in (-oo:+oo)

(x^2+3)/2+x+x/2+1+3 = 30 // - 30

(x^2+3)/2+x+x/2-30+1+3 = 0

(x^2+3)/2+(2*x)/2+x/2+(-30*2)/2+(1*2)/2+(2*3)/2 = 0

x^2+2*x+x-30*2+1*2+2*3+3 = 0

x^2+2*x+x-60+2+3+6 = 0

x^2+3*x-60+2+3+6 = 0

x^2+3*x-57+2+6 = 0

x^2+3*x-55+6 = 0

x^2+3*x-49 = 0

x^2+3*x-49 = 0

x^2+3*x-49 = 0

DELTA = 3^2-(-49*1*4)

DELTA = 205

DELTA > 0

x = (205^(1/2)-3)/(1*2) or x = (-205^(1/2)-3)/(1*2)

x = (205^(1/2)-3)/2 or x = (-(205^(1/2)+3))/2

(x+(205^(1/2)+3)/2)*(x-((205^(1/2)-3)/2)) = 0

((x+(205^(1/2)+3)/2)*(x-((205^(1/2)-3)/2)))/2 = 0

((x+(205^(1/2)+3)/2)*(x-((205^(1/2)-3)/2)))/2 = 0 // * 2

(x+(205^(1/2)+3)/2)*(x-((205^(1/2)-3)/2)) = 0

( x+(205^(1/2)+3)/2 )

x+(205^(1/2)+3)/2 = 0 // - (205^(1/2)+3)/2

x = -((205^(1/2)+3)/2)

( x-((205^(1/2)-3)/2) )

x-((205^(1/2)-3)/2) = 0 // + (205^(1/2)-3)/2

x = (205^(1/2)-3)/2

x in { -((205^(1/2)+3)/2), (205^(1/2)-3)/2 }

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