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algebra · worked example

Solve x² + 9x + 20 = (x + 4)(x + 5)

Method: fatoração com números inteiros. Verified step-by-step solution with our free AI math solver.
Problem

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

Step-by-step solution

  1. Encontre dois números cujo produto seja 2020 e cuja soma seja 99.

  2. Pares de 2020: (1,20),(2,10),(4,5)(1, 20), (2, 10), (4, 5). O par (4,5)(4, 5) tem soma 99. ✓

  3. Resultado: (x+4)(x+5)(x + 4)(x + 5).

Answer

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

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