4x+3(175/x)=100

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Solution for 4x+3(175/x)=100 equation:


D( x )

x = 0

x = 0

x = 0

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

4*x+3*(175/x) = 100 // - 100

4*x+3*(175/x)-100 = 0

4*x^1+525*x^-1-100*x^0 = 0

(4*x^2-100*x^1+525*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-100*x^1+525*x^0) = 0

x^1

4*x^2-100*x+525 = 0

4*x^2-100*x+525 = 0

DELTA = (-100)^2-(4*4*525)

DELTA = 1600

DELTA > 0

x = (1600^(1/2)+100)/(2*4) or x = (100-1600^(1/2))/(2*4)

x = 35/2 or x = 15/2

x in { 15/2, 35/2}

x in { 15/2, 35/2 }

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