Question

solve the following x^3+3ix+10=0​

Answer 1

Answer:

Step-by-step explanation:

Simplifying

x2 + 3ix + 10 = 0

Reorder the terms:

10 + 3ix + x2 = 0

Solving

10 + 3ix + x2 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-10' to each side of the equation.

10 + 3ix + -10 + x2 = 0 + -10

Reorder the terms:

10 + -10 + 3ix + x2 = 0 + -10

Combine like terms: 10 + -10 = 0

0 + 3ix + x2 = 0 + -10

3ix + x2 = 0 + -10

Combine like terms: 0 + -10 = -10

3ix + x2 = -10

Add '-1x2' to each side of the equation.

3ix + x2 + -1x2 = -10 + -1x2

Combine like terms: x2 + -1x2 = 0

3ix + 0 = -10 + -1x2

3ix = -10 + -1x2

Divide each side by '3x'.

i = -3.333333333x-1 + -0.3333333333x

Simplifying

i = -3.333333333x-1 + -0.3333333333x

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