1,043 prompts matching "Multiplying two complex numbers in polar form"
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Learn: Making the coefficient of x squared equal to one first
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Worked Example: Halving the coefficient of x and squaring it
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Quiz: Completing the square on x squared plus 6x
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Practice: Working through a quadratic by completing the square, step by step
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Spot My Mistake: Completing the square when the roots are not real
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WAEC Prep: The minimum value of a quadratic found by completing the square
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Show All Working: Completing the square with a fractional coefficient of x
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Common Mistakes: Checking a completed square by expanding it again
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Final Revision: Why completing the square always works
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Learn: The sum of the roots as minus b over a
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Quiz: Finding the sum and the product without solving the equation
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Explain Back: Finding a missing coefficient from a stated sum of roots
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Spot My Mistake: Finding a missing coefficient from a stated product of roots
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WAEC Prep: Checking the sum and product against the solved roots
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Show All Working: Roots equal in magnitude but opposite in sign
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Final Revision: One root twice the other, and what that gives
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Learn: What makes an expression in the roots symmetric
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Explain Back: The value of alpha minus beta, all squared
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Common Mistakes: A symmetric function needing the sum and product twice over
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