-23i^2+4i-20=0

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Solution for -23i^2+4i-20=0 equation:


Simplifying
-23i2 + 4i + -20 = 0

Reorder the terms:
-20 + 4i + -23i2 = 0

Solving
-20 + 4i + -23i2 = 0

Solving for variable 'i'.

Begin completing the square.  Divide all terms by
-23 the coefficient of the squared term: 

Divide each side by '-23'.
0.8695652174 + -0.1739130435i + i2 = 0

Move the constant term to the right:

Add '-0.8695652174' to each side of the equation.
0.8695652174 + -0.1739130435i + -0.8695652174 + i2 = 0 + -0.8695652174

Reorder the terms:
0.8695652174 + -0.8695652174 + -0.1739130435i + i2 = 0 + -0.8695652174

Combine like terms: 0.8695652174 + -0.8695652174 = 0.0000000000
0.0000000000 + -0.1739130435i + i2 = 0 + -0.8695652174
-0.1739130435i + i2 = 0 + -0.8695652174

Combine like terms: 0 + -0.8695652174 = -0.8695652174
-0.1739130435i + i2 = -0.8695652174

The i term is -0.1739130435i.  Take half its coefficient (-0.08695652175).
Square it (0.007561436675) and add it to both sides.

Add '0.007561436675' to each side of the equation.
-0.1739130435i + 0.007561436675 + i2 = -0.8695652174 + 0.007561436675

Reorder the terms:
0.007561436675 + -0.1739130435i + i2 = -0.8695652174 + 0.007561436675

Combine like terms: -0.8695652174 + 0.007561436675 = -0.862003780725
0.007561436675 + -0.1739130435i + i2 = -0.862003780725

Factor a perfect square on the left side:
(i + -0.08695652175)(i + -0.08695652175) = -0.862003780725

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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