4x=7/x-5

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Solution for 4x=7/x-5 equation:


D( x )

x = 0

x = 0

x = 0

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

4*x = 7/x-5 // - 7/x-5

4*x-(7/x)+5 = 0

4*x-7*x^-1+5 = 0

4*x^1-7*x^-1+5*x^0 = 0

(4*x^2+5*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2+5*x^1-7*x^0) = 0

x^1

4*x^2+5*x-7 = 0

4*x^2+5*x-7 = 0

DELTA = 5^2-(-7*4*4)

DELTA = 137

DELTA > 0

x = (137^(1/2)-5)/(2*4) or x = (-137^(1/2)-5)/(2*4)

x = (137^(1/2)-5)/8 or x = (-(137^(1/2)+5))/8

x in { (-(137^(1/2)+5))/8, (137^(1/2)-5)/8}

x in { (-(137^(1/2)+5))/8, (137^(1/2)-5)/8 }

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