1/2(x+6)x=55

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Solution for 1/2(x+6)x=55 equation: 


x in (-oo:+oo)

(1/2)*x*(x+6) = 55 // - 55

(1/2)*x*(x+6)-55 = 0

1/2*x*(x+6)-55 = 0

1/2*x*(x+6)-55 = 0

1/2*x^2+3*x-55 = 0

1/2*x^2+3*x-55 = 0

1/2*x^2+3*x-55 = 0

DELTA = 3^2-(-55*1/2*4)

DELTA = 119

DELTA > 0

x = (119^(1/2)-3)/(1/2*2) or x = (-119^(1/2)-3)/(1/2*2)

x = 119^(1/2)-3 or x = -(119^(1/2)+3)

(x+119^(1/2)+3)*(x-119^(1/2)+3) = 0

(x+119^(1/2)+3)*(x-119^(1/2)+3) = 0

( x+119^(1/2)+3 )

x+119^(1/2)+3 = 0 // - 119^(1/2)+3

x = -(119^(1/2)+3)

( x-119^(1/2)+3 )

x-119^(1/2)+3 = 0 // - 3-119^(1/2)

x = -(3-119^(1/2))

x = 119^(1/2)-3

x in { -(119^(1/2)+3), 119^(1/2)-3 }

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