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algebra · worked example

Solve x² + 9x + 20 = (x + 4)(x + 5)

Method: 整數因式分解. Verified step-by-step solution with our free AI math solver.
Problem

x2+9x+20x^2 + 9x + 20

Step-by-step solution

  1. 找出兩個數，使其相乘為 2020 且相加為 99。

  2. 2020 的數對：(1,20),(2,10),(4,5)(1, 20), (2, 10), (4, 5)。數對 (4,5)(4, 5) 相加為 99。✓

  3. 結果：(x+4)(x+5)(x + 4)(x + 5)。

Answer

(x+4)(x+5)(x + 4)(x + 5)

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