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\( a(a + b) = 20 \) - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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Question: Solve for $ x $: $ \frac{2}{x - 1} + \frac{3}{x + 2} = 1 $.
Solution: Find a common denominator $ (x - 1)(x + 2) $:
$$ 2(x + 2) + 3(x - 1) = (x - 1)(x + 2) $$
Expand:
$$ 2x + 4 + 3x - 3 = x^2 + 2x - x - 2 $$
Simplify left side:
$$ 5x + 1 = x^2 + x - 2 $$
Bring all terms to one side:
$$ 0 = x^2 - 4x - 3 $$
$$ x = \frac{4 \pm \sqrt{16 + 12}}{2} = \frac{4 \pm \sqrt{28}}{2} = 2...

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