463 prompts matching "Why simultaneous linear-quadratic systems can have two solutions"
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Common Mistakes: Solving an exponential equation using logarithms
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Learn: The sum and the product of the roots read from the coefficients
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Explain Back: The range of values of k for which the roots are real
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Learn: Finding alpha squared plus beta squared from the sum and product
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Learn: The degree of a polynomial and its leading coefficient
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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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Learn: The sum of the roots of a cubic read from its coefficients
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Explain Back: Forming a cubic equation whose three roots are given
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Common Mistakes: Three roots in geometric progression in a cubic
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Explain Back: Solving an inequality that involves a modulus
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Common Mistakes: The range of values of x for which an expression stays positive
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Learn: The meaning of n factorial, and how to evaluate it
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Common Mistakes: Arrangements restricted at the first or the last place
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Learn: The meaning of n choose r, and how to evaluate it
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Common Mistakes: Selections in which at least one of a kind must appear
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
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Explain Back: The compound angle formula for tan of A plus B
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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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