x/(1.6-x^2)=6.8e-9

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Solution for x/(1.6-x^2)=6.8e-9 equation: 


D( x )

1.6-x^2 = 0

1.6-x^2 = 0

1.6-x^2 = 0

-1*x^2 = -1.6 // : -1

x^2 = 1.6

x^2 = 1.6 // ^ 1/2

abs(x) = 1.6^(1/2)

x = 1.6^(1/2) or x = -1.6^(1/2)

x in (-oo:-1.6^(1/2)) U (-1.6^(1/2):1.6^(1/2)) U (1.6^(1/2):+oo)

x/(1.6-x^2) = 6.8*e-9 // - 6.8*e-9

x/(1.6-x^2)-(6.8*e)+9 = 0

x/(1.6-x^2)-6.8*e+9 = 0

x/(1.6-x^2)+(-6.8*e*(1.6-x^2))/(1.6-x^2)+(9*(1.6-x^2))/(1.6-x^2) = 0

9*(1.6-x^2)-6.8*e*(1.6-x^2)+x = 0

6.8*e*x^2-9*x^2+x-10.88*e+14.4 = 0

(6.8*e-9)*x^2+x-10.88*e+14.4 = 0

(6.8*e-9)*x^2+x-10.88*e+14.4 = 0

(6.8*e-9)*x^2+x-10.88*e+14.4 = 0

DELTA = 1^2-(4*(6.8*e-9)*(14.4-10.88*e))

DELTA = 1-4*(6.8*e-9)*(14.4-10.88*e)

DELTA = 576.6944538235443528704

DELTA > 0

x = ((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9)) or x = (-(1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9))

x = ((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9)) or x = (-1/2)*(6.8*e-9)^-1*((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)+1)

(x+1/2*(6.8*e-9)^-1*((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)+1))*(x-(((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9)))) = 0

((x+1/2*(6.8*e-9)^-1*((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)+1))*(x-(((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9)))))/(1.6-x^2) = 0

((x+1/2*(6.8*e-9)^-1*((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)+1))*(x-(((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9)))))/(1.6-x^2) = 0 // * 1.6-x^2

(x+1/2*(6.8*e-9)^-1*((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)+1))*(x-(((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9)))) = 0

( x+1/2*(6.8*e-9)^-1*((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)+1) )

x+1/2*(6.8*e-9)^-1*((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)+1) = 0 // - 1/2*(6.8*e-9)^-1*((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)+1)

x = -(1/2*(6.8*e-9)^-1*((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)+1))

x = -1/2*(6.8*e-9)^-1*((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)+1)

( x-(((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9))) )

x-(((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9))) = 0 // + ((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9))

x = ((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9))

x in { -1/2*(6.8*e-9)^-1*((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)+1), ((1-4*(6.8*e-9)*(14.4-10.88*e))^(1/2)-1)/(2*(6.8*e-9)) }

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