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Example Questions
Example Question #1 : Find The Roots Of Complex Numbers
Determine the length of
, so
Example Question #1 : Find The Roots Of Complex Numbers
Solve for all possible solutions to the quadratic expression:
Solve for complex values of m using the aforementioned quadratic formula:
Example Question #1 : Find The Roots Of Complex Numbers
Which of the following lists all possible solutions to the quadratic expression:
Solve for complex values of using the quadratic formula:
Example Question #10 : Find The Roots Of Complex Numbers
Determine the length of .
To begin, we must recall that . Plug this in to get . Length must be a positive value, so we'll take the absolute value: . Therefore the length is 3.
Example Question #41 : Polar Coordinates And Complex Numbers
Solve for (there may be more than one solution).
Example Question #42 : Polar Coordinates And Complex Numbers
Solve for all possible solutions to the quadratic expression:
Example Question #43 : Polar Coordinates And Complex Numbers
Solve for (there may be more than one solution).
To solve for the roots, just set equal to zero and solve for using the quadratic formula (): and now setting both and equal to zero we end up with the answers and .
Example Question #1 : Express Complex Numbers In Rectangular Form
Convert the following to rectangular form:
Distribute the coefficient 2, and evaluate each term:
Example Question #1 : Express Complex Numbers In Rectangular Form
Convert the following to rectangular form:
Distribute the coefficient and simplify:
Example Question #2 : Express Complex Numbers In Rectangular Form
Represent the polar equation:
in rectangular form.
Using the general form of a polar equation:
we find that the value of is and the value of is .
The rectangular form of the equation appears as , and can be found by finding the trigonometric values of the cosine and sine equations.
distributing the 3, we obtain the final answer of:
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