5/2x-7/x=2

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Solution for 5/2x-7/x=2 equation:


D( x )

x = 0

x = 0

x = 0

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

(5/2)*x-(7/x) = 2 // - 2

(5/2)*x-(7/x)-2 = 0

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

5/2*x^1-7*x^-1-2*x^0 = 0

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

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

x^1

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

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

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

DELTA = 74

DELTA > 0

x = (74^(1/2)+2)/(2*(5/2)) or x = (2-74^(1/2))/(2*(5/2))

x = (74^(1/2)+2)/5 or x = (2-74^(1/2))/5

x in { (2-74^(1/2))/5, (74^(1/2)+2)/5}

x in { (2-74^(1/2))/5, (74^(1/2)+2)/5 }

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