x=12/(38+4.9x)

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


D( x )

4.9*x+38 = 0

4.9*x+38 = 0

4.9*x+38 = 0

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

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

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

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

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

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

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

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

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

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

DELTA = 1679.2

DELTA > 0

x = (1679.2^(1/2)-38)/(2*4.9) or x = (-1679.2^(1/2)-38)/(2*4.9)

x = 0.10204082*(1679.2^(1/2)-38) or x = -0.10204082*(1679.2^(1/2)+38)

(x+0.10204082*(1679.2^(1/2)+38))*(x-0.10204082*(1679.2^(1/2)-38)) = 0

((x+0.10204082*(1679.2^(1/2)+38))*(x-0.10204082*(1679.2^(1/2)-38)))/(4.9*x+38) = 0

((x+0.10204082*(1679.2^(1/2)+38))*(x-0.10204082*(1679.2^(1/2)-38)))/(4.9*x+38) = 0 // * 4.9*x+38

(x+0.10204082*(1679.2^(1/2)+38))*(x-0.10204082*(1679.2^(1/2)-38)) = 0

( x+0.10204082*(1679.2^(1/2)+38) )

x+0.10204082*(1679.2^(1/2)+38) = 0 // - 0.10204082*(1679.2^(1/2)+38)

x = -(0.10204082*(1679.2^(1/2)+38))

x = -0.10204082*(1679.2^(1/2)+38)

( x-0.10204082*(1679.2^(1/2)-38) )

x-0.10204082*(1679.2^(1/2)-38) = 0 // + -0.10204082*(1679.2^(1/2)-38)

x = -(-0.10204082*(1679.2^(1/2)-38))

x = 0.10204082*(1679.2^(1/2)-38)

x in { -0.10204082*(1679.2^(1/2)+38), 0.10204082*(1679.2^(1/2)-38) }

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