1/2/(3x-17)=1/6(8x-10)

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Solution for 1/2/(3x-17)=1/6(8x-10) equation:


D( x )

3*x-17 = 0

3*x-17 = 0

3*x-17 = 0

3*x-17 = 0 // + 17

3*x = 17 // : 3

x = 17/3

x in (-oo:17/3) U (17/3:+oo)

(1/2)/(3*x-17) = (1/6)*(8*x-10) // - (1/6)*(8*x-10)

(1/2)/(3*x-17)-((1/6)*(8*x-10)) = 0

(1/2)/(3*x-17)+(-1/6)*(8*x-10) = 0

1/2/(3*x-17)-1/6*(8*x-10) = 0

1/2/(3*x-17)+(-1/6*(8*x-10)*(3*x-17))/(3*x-17) = 0

1/2-1/6*(8*x-10)*(3*x-17) = 0

83/3*x-4*x^2-167/6 = 0

83/3*x-4*x^2-167/6 = 0

83/3*x-4*x^2-167/6 = 0

DELTA = (83/3)^2-(-167/6*(-4)*4)

DELTA = 2881/9

DELTA > 0

x = ((2881/9)^(1/2)-83/3)/(-4*2) or x = (-(2881/9)^(1/2)-83/3)/(-4*2)

x = ((2881/9)^(1/2)-83/3)/(-8) or x = ((2881/9)^(1/2)+83/3)/8

(x-(((2881/9)^(1/2)-83/3)/(-8)))*(x-(((2881/9)^(1/2)+83/3)/8)) = 0

((x-(((2881/9)^(1/2)-83/3)/(-8)))*(x-(((2881/9)^(1/2)+83/3)/8)))/(3*x-17) = 0

((x-(((2881/9)^(1/2)-83/3)/(-8)))*(x-(((2881/9)^(1/2)+83/3)/8)))/(3*x-17) = 0 // * 3*x-17

(x-(((2881/9)^(1/2)-83/3)/(-8)))*(x-(((2881/9)^(1/2)+83/3)/8)) = 0

( x-(((2881/9)^(1/2)+83/3)/8) )

x-(((2881/9)^(1/2)+83/3)/8) = 0 // + ((2881/9)^(1/2)+83/3)/8

x = ((2881/9)^(1/2)+83/3)/8

( x-(((2881/9)^(1/2)-83/3)/(-8)) )

x-(((2881/9)^(1/2)-83/3)/(-8)) = 0 // + ((2881/9)^(1/2)-83/3)/(-8)

x = ((2881/9)^(1/2)-83/3)/(-8)

x in { ((2881/9)^(1/2)+83/3)/8, ((2881/9)^(1/2)-83/3)/(-8) }

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