(7x-3)^2/x-1

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Solution for (7x-3)^2/x-1 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

49*x^2-43*x+9 = 0

49*x^2-43*x+9 = 0

49*x^2-43*x+9 = 0

DELTA = (-43)^2-(4*9*49)

DELTA = 85

DELTA > 0

x = (85^(1/2)+43)/(2*49) or x = (43-85^(1/2))/(2*49)

x = (85^(1/2)+43)/98 or x = (43-85^(1/2))/98

(x-((43-85^(1/2))/98))*(x-((85^(1/2)+43)/98)) = 0

((x-((43-85^(1/2))/98))*(x-((85^(1/2)+43)/98)))/x = 0

((x-((43-85^(1/2))/98))*(x-((85^(1/2)+43)/98)))/x = 0 // * x

(x-((43-85^(1/2))/98))*(x-((85^(1/2)+43)/98)) = 0

( x-((43-85^(1/2))/98) )

x-((43-85^(1/2))/98) = 0 // + (43-85^(1/2))/98

x = (43-85^(1/2))/98

( x-((85^(1/2)+43)/98) )

x-((85^(1/2)+43)/98) = 0 // + (85^(1/2)+43)/98

x = (85^(1/2)+43)/98

x in { (43-85^(1/2))/98, (85^(1/2)+43)/98 }

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