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Can Three Rational Numbers Satisfy Both Zero Conditions?

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The World of Numbers · Chapter challenge problems · 3:09

You'll learn: Combine the sum and pairwise-product conditions to obtain a sum of squares equal to zero.

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Can Three Rational Numbers Satisfy Both Zero Conditions?

3:09

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Can Three Rational Numbers Satisfy Both Zero Conditions?

You'll learn: Combine the sum and pairwise-product conditions to obtain a sum of squares equal to zero.

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Chapter challenge problems

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Find More Reciprocals with Cyclic Repeating Blocks
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What Does the Fourth Decimal Place Tell Us?
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What Does the Fourth Decimal Place Tell Us?
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Make Enough Space Between Fraction Numerators
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Understanding and proving identities

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Three Consecutive Squares Always Give Two
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Three Consecutive Squares Always Give Two
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An Identity Is an Equation True for Every Allowed Value
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An Identity Is an Equation True for Every Allowed Value
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You'll learn: Choose a convenient additive split and evaluate with (a+b)².

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Perfect-square factorisation

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Read a Perfect Square Backwards
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Read a Perfect Square Backwards
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You'll learn: Remove the two appropriate rectangles from the larger square.