1,322 prompts matching "solve x^2+4x+13=0 giving the roots as complex numbers"
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Common Mistakes: Identifying a conic from a general second-degree equation
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Practice: A uniform beam resting on two supports
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a uniform beam
Show All Working: Replacing two parallel forces by a single resultant
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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track
Act as my SS3 Further Mathematics tutor. Work a question on an aeroplane in a cross-wind,
Learn: Two particles joined by a light inextensible string over a smooth pulley
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Practice: A particle on a smooth table connected to a hanging particle
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Explain Back: A particle on a rough table connected to a hanging particle
I have just studied a particle on a rough table connected to a hanging particle in my SS3
Learn: Angular velocity, and how it relates to linear speed
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Practice: A car rounding a bend on a level road
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Explain Back: A car on a banked track
I have just studied a car on a banked track in my SS3 Further Mathematics class. Let me ex
Final Revision: Showing that a given motion is simple harmonic
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Spot my mistake: Using an equation of constant acceleration on a body whose acceleration is changing
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Multi-part function exam question
I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha
WAEC-style question on evaluating composite functions
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Show that command word: laws of indices
I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr
Structured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Show that command word: surd simplification
I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp
Structured question: equation of a line through two points
I am in SS 3. Give me a structured question where I find the equation of a straight line t
Structured question: perpendicular bisector of a line segment
I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr
Structured question: equation of a circle from centre and a point
I am in SS 3. Set me a structured question where I am given the centre of a circle and a p