20x-1/2x^2=50

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Solution for 20x-1/2x^2=50 equation: 


x in (-oo:+oo)

20*x-((1/2)*x^2) = 50 // - 50

20*x-((1/2)*x^2)-50 = 0

(-1/2)*x^2+20*x-50 = 0

20*x-1/2*x^2-50 = 0

DELTA = 20^2-(-50*(-1/2)*4)

DELTA = 300

DELTA > 0

x = (300^(1/2)-20)/(-1/2*2) or x = (-300^(1/2)-20)/(-1/2*2)

x = 20-(10*3^(1/2)) or x = 20-(-10*3^(1/2))

x in { 20-(10*3^(1/2)), 20-(-10*3^(1/2)) }

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