Algebra · Algebraic fractions
Chapter 1 · 4
The idea
Equations with algebraic fractions
Why multiplying through by the denominators turns a fraction equation into a polynomial one, when the result is linear versus quadratic, and the grade-9 pattern where 1/x-terms breed a quadratic.
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Algebra · Algebraic fractions
Equations with algebraic fractions
Why multiplying through by the denominators turns a fraction equation into a polynomial one, when the result is linear versus quadratic, and the grade-9 pattern where 1/x-terms breed a quadratic.
Why it works
Multiply the fractions away
An sitting in a denominator looks like a new species of equation — it isn't. It clears the same way numeric fraction equations did: multiply every term by the denominators, watch them cancel, and solve what's left. The only novelty is that the multiplier now contains .One denominator: one multiplication
: subtract 4 first (), or multiply through by (). Either way .Keep reading — free
The rest of the explanation, plus 2 worked examples you step through move by move.
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