1,022 prompts matching "Solving a surd equation that gives an extraneous root"
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Teach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Quiz me on simplifying surds
Act as my SS2 Further Maths tutor. Quiz me with five surd expressions to simplify, and che
Explain surds back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to simplify and ration
Teach me changing the base of a logarithm
Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and
Spot my mistake finding a line's equation
Act as my SS2 Further Maths tutor. I found the equation of a straight line through two poi
Worked example: finding a term in an arithmetic progression
Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter
Give me practice on matrices
Act as my SS2 Further Maths tutor. Give me six practice questions on matrix operations, de
Teach me adding and subtracting vectors
Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum
Worked example: finding the angle between two vectors
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the angle betw
Give me practice on vectors
Act as my SS2 Further Maths tutor. Give me six practice questions on vector addition, magn
Give me practice on measures of dispersion
Act as my SS2 Further Maths tutor. Give me five practice questions on calculating variance
Spot my mistake calculating standard deviation
Act as my SS2 Further Maths tutor. I calculated the standard deviation of a data set but I
Test me under exam conditions on quadratic equations
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on qu
Test me under exam conditions on surds
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on su
Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=
Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0
Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for
Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =
Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Real-life application of sequences and series
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sequen