5.82=x/(1-(x/7)^2)

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Solution for 5.82=x/(1-(x/7)^2) equation: 


D( x )

1-(x/7)^2 = 0

1-(x/7)^2 = 0

1-(x/7)^2 = 0

-1/49*x^2 = -1 // : -1/49

x^2 = 49

x^2 = 49 // ^ 1/2

abs(x) = 7

x = 7 or x = -7

x in (-oo:-7) U (-7:7) U (7:+oo)

5.82 = x/(1-(x/7)^2) // - x/(1-(x/7)^2)

5.82-(x/(1-(x/7)^2)) = 0

(-1*x)/(1-1/49*x^2)+5.82 = 0

(-1*x)/(1-1/49*x^2)+(5.82*(1-1/49*x^2))/(1-1/49*x^2) = 0

5.82*(1-1/49*x^2)-1*x = 0

5.82-0.1187754912*x^2-x = 0

5.82-0.1187754912*x^2-x = 0

5.82-0.1187754912*x^2-x = 0

DELTA = (-1)^2-(-0.1187754912*4*5.82)

DELTA = 3.765093435136

DELTA > 0

x = (3.765093435136^(1/2)+1)/(-0.1187754912*2) or x = (1-3.765093435136^(1/2))/(-0.1187754912*2)

x = -4.20962267*(3.765093435136^(1/2)+1) or x = -4.20962267*(1-3.765093435136^(1/2))

(x+4.20962267*(3.765093435136^(1/2)+1))*(x+4.20962267*(1-3.765093435136^(1/2))) = 0

((x+4.20962267*(3.765093435136^(1/2)+1))*(x+4.20962267*(1-3.765093435136^(1/2))))/(1-1/49*x^2) = 0

((x+4.20962267*(3.765093435136^(1/2)+1))*(x+4.20962267*(1-3.765093435136^(1/2))))/(1-1/49*x^2) = 0 // * 1-1/49*x^2

(x+4.20962267*(3.765093435136^(1/2)+1))*(x+4.20962267*(1-3.765093435136^(1/2))) = 0

( x+4.20962267*(1-3.765093435136^(1/2)) )

x+4.20962267*(1-3.765093435136^(1/2)) = 0 // - 4.20962267*(1-3.765093435136^(1/2))

x = -(4.20962267*(1-3.765093435136^(1/2)))

x = -4.20962267*(1-3.765093435136^(1/2))

( x+4.20962267*(3.765093435136^(1/2)+1) )

x+4.20962267*(3.765093435136^(1/2)+1) = 0 // - 4.20962267*(3.765093435136^(1/2)+1)

x = -(4.20962267*(3.765093435136^(1/2)+1))

x = -4.20962267*(3.765093435136^(1/2)+1)

x in { -4.20962267*(1-3.765093435136^(1/2)), -4.20962267*(3.765093435136^(1/2)+1) }

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