algebra · worked example

Solve x² - 5x + 4 = 0 — x = 1 or x = 4

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

x25x+4=0x^2 - 5x + 4 = 0

Step-by-step solution

  1. 找出兩個相乘為 44、相加為 5-5 的數。

  2. 兩者皆為負(乘積為正、和為負):(1,4)(-1, -4)

  3. 因式分解:(x1)(x4)=0(x - 1)(x - 4) = 0

  4. 求解:x=1x = 1x=4x = 4

Answer

x=1orx=4x = 1 \quad \text{or} \quad x = 4

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