1,334 prompts matching "An answer left in surd form after completing the square"
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Worked Example: The position vector of the midpoint of AB
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Worked Example: The triangle law of vector addition
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Explain Back: The dot product of two perpendicular vectors
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Worked Example: Testing two vectors for perpendicularity
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Learn: The angle between a vector and one of the axes
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Practice: Deciding whether a point lies on a given line
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Worked Example: The powers of i, and the cycle they follow
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Worked Example: Squaring a complex number
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Practice: The sum of a complex number and its conjugate
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Practice: The addition of complex numbers shown on an Argand diagram
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Explain Back: Raising a complex number to a power by de Moivre's theorem
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Practice: Why complex roots of a real quadratic come in conjugate pairs
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Practice: Differentiating x squared from first principles
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Explain Back: Differentiating one over x from first principles
I have just studied differentiating one over x from first principles in my SS3 Further Mat
Worked Example: Differentiating a bracket raised to a power
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Learn: Differentiating sin of a multiple of x
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Worked Example: Classifying a stationary point by the sign of the gradient either side
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Learn: Integrating a polynomial term by term
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Worked Example: The area between a curve and the x-axis
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Learn: Finding displacement by integrating velocity
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