36x+(24x^2)+(2x^2)/x=1000

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Solution for 36x+(24x^2)+(2x^2)/x=1000 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

24*x^2+36*x+(2*x^2)/x = 1000 // - 1000

24*x^2+36*x+(2*x^2)/x-1000 = 0

24*x^2+38*x-1000 = 0

DELTA = 38^2-(-1000*4*24)

DELTA = 97444

DELTA > 0

x = (97444^(1/2)-38)/(2*24) or x = (-97444^(1/2)-38)/(2*24)

x = (2*24361^(1/2)-38)/48 or x = (-2*24361^(1/2)-38)/48

x in { (-2*24361^(1/2)-38)/48, (2*24361^(1/2)-38)/48 }

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