1,043 prompts matching "Learn: Simplifying a surd by extracting the largest perfect square"
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Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Common Mistakes: Writing down the roots once the brackets are found
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Worked Example: Halving the coefficient of x and squaring it
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Quiz: Completing the square on x squared plus 6x
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Spot My Mistake: Completing the square when the roots are not real
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Final Revision: Why completing the square always works
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Quiz: A negative value of b in the quadratic formula
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Practice: Giving the roots correct to two decimal places
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Spot My Mistake: What the formula gives when the discriminant is nought
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WAEC Prep: What the formula gives when the discriminant is negative
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Common Mistakes: A sign error in the formula, and how to catch it
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Final Revision: A word problem solved with the quadratic formula
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Worked Example: The product of the roots as c over a
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Quiz: Finding the sum and the product without solving the equation
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WAEC Prep: Checking the sum and product against the solved roots
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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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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Quiz: The value of one over alpha squared plus one over beta squared
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