x=12/(38-4.9x)

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Solution for x=12/(38-4.9x) equation: 


D( x )

38-(4.9*x) = 0

38-(4.9*x) = 0

38-(4.9*x) = 0

38-4.9*x = 0

38-4.9*x = 0 // - 38

-4.9*x = -38 // : -4.9

x = -38/(-4.9)

x = 7.75510204

x in (-oo:7.75510204) U (7.75510204:+oo)

x = 12/(38-(4.9*x)) // - 12/(38-(4.9*x))

x-(12/(38-(4.9*x))) = 0

x-12*(38-4.9*x)^-1 = 0

x-12/(38-4.9*x) = 0

(x*(38-4.9*x))/(38-4.9*x)-12/(38-4.9*x) = 0

x*(38-4.9*x)-12 = 0

38*x-4.9*x^2-12 = 0

38*x-4.9*x^2-12 = 0

38*x-4.9*x^2-12 = 0

DELTA = 38^2-(-12*(-4.9)*4)

DELTA = 1208.8

DELTA > 0

x = (1208.8^(1/2)-38)/(-4.9*2) or x = (-1208.8^(1/2)-38)/(-4.9*2)

x = -0.10204082*(1208.8^(1/2)-38) or x = 0.10204082*(1208.8^(1/2)+38)

(x+0.10204082*(1208.8^(1/2)-38))*(x-0.10204082*(1208.8^(1/2)+38)) = 0

((x+0.10204082*(1208.8^(1/2)-38))*(x-0.10204082*(1208.8^(1/2)+38)))/(38-4.9*x) = 0

((x+0.10204082*(1208.8^(1/2)-38))*(x-0.10204082*(1208.8^(1/2)+38)))/(38-4.9*x) = 0 // * 38-4.9*x

(x+0.10204082*(1208.8^(1/2)-38))*(x-0.10204082*(1208.8^(1/2)+38)) = 0

( x+0.10204082*(1208.8^(1/2)-38) )

x+0.10204082*(1208.8^(1/2)-38) = 0 // - 0.10204082*(1208.8^(1/2)-38)

x = -(0.10204082*(1208.8^(1/2)-38))

x = -0.10204082*(1208.8^(1/2)-38)

( x-0.10204082*(1208.8^(1/2)+38) )

x-0.10204082*(1208.8^(1/2)+38) = 0 // + -0.10204082*(1208.8^(1/2)+38)

x = -(-0.10204082*(1208.8^(1/2)+38))

x = 0.10204082*(1208.8^(1/2)+38)

x in { -0.10204082*(1208.8^(1/2)-38), 0.10204082*(1208.8^(1/2)+38) }

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