(3-2i)/(4-3i)+(3*(i-8))

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Solution for (3-2i)/(4-3i)+(3*(i-8)) equation: 


D( i )

4-(3*i) = 0

4-(3*i) = 0

4-(3*i) = 0

4-3*i = 0

4-3*i = 0 // - 4

-3*i = -4 // : -3

i = -4/(-3)

i = 4/3

i in (-oo:4/3) U (4/3:+oo)

(3-(2*i))/(4-(3*i))+3*(i-8) = 0

(3-2*i)/(4-3*i)+3*(i-8) = 0

(3-2*i)/(4-3*i)+(3*(i-8)*(4-3*i))/(4-3*i) = 0

3*(i-8)*(4-3*i)-2*i+3 = 0

82*i-9*i^2-93 = 0

82*i-9*i^2-93 = 0

82*i-9*i^2-93 = 0

DELTA = 82^2-(-93*(-9)*4)

DELTA = 3376

DELTA > 0

i = (3376^(1/2)-82)/(-9*2) or i = (-3376^(1/2)-82)/(-9*2)

i = (4*211^(1/2)-82)/(-18) or i = (-4*211^(1/2)-82)/(-18)

(i-((4*211^(1/2)-82)/(-18)))*(i-((-4*211^(1/2)-82)/(-18))) = 0

((i-((4*211^(1/2)-82)/(-18)))*(i-((-4*211^(1/2)-82)/(-18))))/(4-3*i) = 0

((i-((4*211^(1/2)-82)/(-18)))*(i-((-4*211^(1/2)-82)/(-18))))/(4-3*i) = 0 // * 4-3*i

(i-((4*211^(1/2)-82)/(-18)))*(i-((-4*211^(1/2)-82)/(-18))) = 0

( i-((-4*211^(1/2)-82)/(-18)) )

i-((-4*211^(1/2)-82)/(-18)) = 0 // + (-4*211^(1/2)-82)/(-18)

i = (-4*211^(1/2)-82)/(-18)

( i-((4*211^(1/2)-82)/(-18)) )

i-((4*211^(1/2)-82)/(-18)) = 0 // + (4*211^(1/2)-82)/(-18)

i = (4*211^(1/2)-82)/(-18)

i in { (-4*211^(1/2)-82)/(-18), (4*211^(1/2)-82)/(-18) }

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