742 prompts matching "Structured question: quadratic with roots that differ by a given amount"
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Practice: Rationalising a denominator with a whole number multiplying the surd
Act as my SS1 Further Mathematics tutor. Give me five practice questions on rationalising
Worked Example: Why multiplying by the conjugate clears the surd
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Practice: Rationalising a denominator of the form a plus root b over c minus root d
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Explain Back: The difference of two squares applied to surd conjugates
I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur
Practice: Solving an equation with a surd on each side
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Common Mistakes: A surd equation that has no real solution
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Explain Back: Showing distributivity fails by a counter-example
I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma
Explain Back: A fractional index with a numerator above one
I have just studied a fractional index with a numerator above one in my SS1 Further Mathem
Explain Back: An indicial equation with the unknown in the exponent on both sides
I have just studied an indicial equation with the unknown in the exponent on both sides in
Worked Example: Converting a logarithm to base ten so that tables can be used
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Explain Back: A logarithmic equation written in two different bases
I have just studied a logarithmic equation written in two different bases in my SS1 Furthe
Practice: Finding the nth term of a quadratic sequence
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Worked Example: Finding the common difference of an arithmetic progression
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Worked Example: The alternative sum formula that uses the last term
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Explain Back: Finding the first term from the sum and the common difference
I have just studied finding the first term from the sum and the common difference in my SS
WAEC Prep: A geometric progression with a negative common ratio
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Explain Back: The sum of a geometric progression with a negative common ratio
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Practice: Reversing the sign when multiplying by a negative number
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Explain Back: Solving a linear inequality that contains brackets
I have just studied solving a linear inequality that contains brackets in my SS1 Further M