4/x+7=22/7x+6

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Solution for 4/x+7=22/7x+6 equation:


D( x )

x = 0

x = 0

x = 0

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

4/x+7 = (22/7)*x+6 // - (22/7)*x+6

4/x-((22/7)*x)-6+7 = 0

(-22/7)*x+4/x-6+7 = 0

4*x^-1-22/7*x^1+1*x^0 = 0

(1*x^1-22/7*x^2+4*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^1-22/7*x^2+4*x^0) = 0

x^1

(-22/7)*x^2+x+4 = 0

(-22/7)*x^2+x+4 = 0

DELTA = 1^2-(4*4*(-22/7))

DELTA = 359/7

DELTA > 0

x = ((359/7)^(1/2)-1)/(2*(-22/7)) or x = (-(359/7)^(1/2)-1)/(2*(-22/7))

x = -7/44*((359/7)^(1/2)-1) or x = 7/44*((359/7)^(1/2)+1)

x in { -7/44*((359/7)^(1/2)-1), 7/44*((359/7)^(1/2)+1)}

x in { -7/44*((359/7)^(1/2)-1), 7/44*((359/7)^(1/2)+1) }

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