(5/x+24)-(3/x-24)=10x/(x)(x)-576

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Solution for (5/x+24)-(3/x-24)=10x/(x)(x)-576 equation:


D( x )

x = 0

x = 0

x = 0

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

5/x-(3/x)+24+24 = ((10*x)/x)*x-576 // - ((10*x)/x)*x-576

5/x-(((10*x)/x)*x)-(3/x)+24+24+576 = 0

5/x-10*x-3*x^-1+24+24+576 = 0

2*x^-1-10*x^1+624*x^0 = 0

(624*x^1-10*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(624*x^1-10*x^2+2*x^0) = 0

x^1

624*x-10*x^2+2 = 0

624*x-10*x^2+2 = 0

DELTA = 624^2-(-10*2*4)

DELTA = 389456

DELTA > 0

x = (389456^(1/2)-624)/(-10*2) or x = (-389456^(1/2)-624)/(-10*2)

x = (4*24341^(1/2)-624)/(-20) or x = (-4*24341^(1/2)-624)/(-20)

x in { (4*24341^(1/2)-624)/(-20), (-4*24341^(1/2)-624)/(-20)}

x in { (4*24341^(1/2)-624)/(-20), (-4*24341^(1/2)-624)/(-20) }

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