2x-7/x=x-3/4

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Solution for 2x-7/x=x-3/4 equation:


D( x )

x = 0

x = 0

x = 0

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

2*x-(7/x) = x-(3/4) // - x-(3/4)

2*x-x-(7/x)+3/4 = 0

2*x-x-7*x^-1+3/4 = 0

1*x^1-7*x^-1+3/4*x^0 = 0

(1*x^2+3/4*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+3/4*x^1-7*x^0) = 0

x^1

x^2+(3/4)*x-7 = 0

x^2+(3/4)*x-7 = 0

DELTA = (3/4)^2-(-7*1*4)

DELTA = 457/16

DELTA > 0

x = ((457/16)^(1/2)-(3/4))/(1*2) or x = (-(3/4)-(457/16)^(1/2))/(1*2)

x = ((457/16)^(1/2)-3/4)/2 or x = (-((457/16)^(1/2)+3/4))/2

x in { (-((457/16)^(1/2)+3/4))/2, ((457/16)^(1/2)-3/4)/2}

x in { (-((457/16)^(1/2)+3/4))/2, ((457/16)^(1/2)-3/4)/2 }

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