Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,044 prompts matching "Forming a new equation whose roots are the reciprocals of the original"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Learn: Making the coefficient of x squared equal to one first
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Subscribe to unlock allQuiz: Completing the square on x squared plus 6x
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Subscribe to unlock allPractice: Working through a quadratic by completing the square, step by step
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Subscribe to unlock allExplain Back: An answer left in surd form after completing the square
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Subscribe to unlock allWAEC Prep: The minimum value of a quadratic found by completing the square
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Subscribe to unlock allShow All Working: Completing the square with a fractional coefficient of x
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Subscribe to unlock allFinal Revision: Why completing the square always works
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Subscribe to unlock allLearn: Deriving the quadratic formula by completing the square
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Subscribe to unlock allPractice: Giving the roots correct to two decimal places
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Subscribe to unlock allExplain Back: Leaving the roots of a quadratic in surd form
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Subscribe to unlock allWorked Example: The product of the roots as c over a
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Subscribe to unlock allQuiz: Finding the sum and the product without solving the equation
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Subscribe to unlock allWAEC Prep: Checking the sum and product against the solved roots
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Subscribe to unlock allFinal Revision: One root twice the other, and what that gives
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Subscribe to unlock allWorked Example: The identity linking alpha squared plus beta squared to the sum and product
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Subscribe to unlock allQuiz: The value of one over alpha squared plus one over beta squared
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Subscribe to unlock allExplain Back: The value of alpha minus beta, all squared
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Subscribe to unlock allShow All Working: A simultaneous pair in which the second equation is a circle
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Subscribe to unlock allShow All Working: What the factor theorem says about the roots
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Subscribe to unlock allSpot My Mistake: Finding the remaining roots once one is known
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