1,036 prompts matching "Structured question: solve an exponential equation using indices"
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Common Mistakes: A sign error in the formula, and how to catch it
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Common Mistakes: Roots that are reciprocals of one another
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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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Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: Substituting into the quadratic and tidying up
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Explain Back: Writing the answers as ordered pairs
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Worked Example: The discriminant used as the test for intersection
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Practice: The condition for the line to be a tangent
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Final Revision: A word problem about a line and a parabola
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Learn: What makes an expression a polynomial
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Quiz: The leading term and the constant term
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WAEC Prep: Expressions that are not polynomials, and why not
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Show All Working: Adding and subtracting two polynomials
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Common Mistakes: Multiplying one polynomial by another
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Explain Back: A division that leaves a constant remainder
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