AI Math
開啟應用程式
卡在這題？用 AI 解開它
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

x2−5x+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：(x−1)(x−4)=0(x - 1)(x - 4) = 0。

  4. 求解：x=1x = 1 或 x=4x = 4。

Answer

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

Want to solve a different problem? Open the quadratic solver →

Related worked examples