4/7x+14=4/x+2-6/7

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Solution for 4/7x+14=4/x+2-6/7 equation:


D( x )

x = 0

x = 0

x = 0

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

(4/7)*x+14 = 4/x-(6/7)+2 // - 4/x-(6/7)+2

(4/7)*x-(4/x)+6/7-2+14 = 0

(4/7)*x-4*x^-1+6/7-2+14 = 0

4/7*x^1-4*x^-1+90/7*x^0 = 0

(4/7*x^2+90/7*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(4/7*x^2+90/7*x^1-4*x^0) = 0

x^1

(4/7)*x^2+(90/7)*x-4 = 0

(4/7)*x^2+(90/7)*x-4 = 0

DELTA = (90/7)^2-(-4*4*(4/7))

DELTA = 8548/49

DELTA > 0

x = ((8548/49)^(1/2)-(90/7))/(2*(4/7)) or x = (-(90/7)-(8548/49)^(1/2))/(2*(4/7))

x = 7/8*((8548/49)^(1/2)-90/7) or x = -7/8*((8548/49)^(1/2)+90/7)

x in { -7/8*((8548/49)^(1/2)+90/7), 7/8*((8548/49)^(1/2)-90/7)}

x in { -7/8*((8548/49)^(1/2)+90/7), 7/8*((8548/49)^(1/2)-90/7) }

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