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Calculus/Complex numbers in algebraic form

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Expert: - 3/1/2009


Question
Find the complex number z with the least positive argument satisfying the condition |z-25i|<=15. Much obliged

Answer
The absolute value, when in complex for, is √(a²+2ab+b²).
The absolute value of this number would be √(z²-50z+625).
Square both sides of the equation and get

z²-50z+625<=225 by subtracting the 225 from both sides
and then factoring.

Calculus

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