7/4x-1/x=-5

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Solution for 7/4x-1/x=-5 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

DELTA = 5^2-(-1*4*(7/4))

DELTA = 32

DELTA > 0

x = (32^(1/2)-5)/(2*(7/4)) or x = (-32^(1/2)-5)/(2*(7/4))

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

x in { 2/7*(-4*2^(1/2)-5), 2/7*(4*2^(1/2)-5)}

x in { 2/7*(-4*2^(1/2)-5), 2/7*(4*2^(1/2)-5) }

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